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It depends upon whether you mean 240 volts at the first end or the second end.

Assuming 240 volts at the source, and allowing no more than a 3 percent voltage drop over the 200-foot circuit, at 100 percent load of 100 amps, you would need a #1 copper conductor. You would only have 233 volts at the far end at full load.

Note that if the ampacity of conductors supplying your connection point is not sufficient, the "supplied voltage" on your new extension could be substantially diminished under load. For instance, if you are already 100 feet from the original 240 volts, your extension would have an effective circuit distance of 300 feet, requiring #2/0 conductors.

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