How to fill a color in Adobe Photoshop or Illustrator CS3

I have an PNG image that has literally thousands of like colored dots on a page it is the outline of the worlds continents. How do I change the dots globally on the image to the following color. The image opens in RGB but none of a previously dictated answer worked. I tried it all. What I want to do is be able to change the color of all the dots to either Orange White or Blue.
I was able to use the HUE  tool to Cntrl+U to get some of the colors close and that has sufficed for now. However if I can get the steps on how to convert all the dots to the Orange color below. I am sure I can get the others correctly.

In RGB the color is 244-119-33
In RGB Web the color is #F47721
In CMYK the color is 0-66.27-100-0 in that order.
Can someone look at that. I have tried everything I was told to do from a previous question and only the HUE portion actually worked partially. Please advise.

showcase-bg.png
Fletcher BurdineTableau Trainer & Consultant Sales Exec.Asked:
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crooksy88Commented:
Open the file in Photoshop and in the Layers panel click the square next to the word Lock:

This is the Lock Transparent Pixels button.

Now choose Edit > Fill and choose Colour from the dropdown menu. Select the colour you want and click OK


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Fletcher BurdineTableau Trainer & Consultant Sales Exec.Author Commented:
Sweet. Where were you the last 3 days. I cannot believe that worked the first time. All the other guys went all over the place trying to answer that and it did not work. YOU THA MAN !
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