I stumbled onto a site that makes all of that much easier. Scriptsrc.net provides a dead simple way to bypass all of that because it clearly lists the most popular libraries on one page along with a copy & info button. You click on the “copy” button and you now have the full path to the most recent version on Google’s Ajax API CDN.
Here’s a screenshot:
Clicking on the copy button will provide this:
It’s a neat tool to add to your arsenal and a time saver, at least for me. It supports: