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There's also the supply/demand aspect of it. Some electricity is cheaper to provide than others - the cheapest is the renewable or nuclear that's already built in the area, but when demand is high, the grid provider will source electricity from more expensive sources - coal, natural gas, or importing it from neighboring utilities. So, using some made-up numbers, if your existing cost for 100MW is $0.10/Wh, getting the next 100MW might cost $0.50/Wh, bumping the cost for everyone up to $0.30/Wh.
KWh, but yes. I'm in CA so we don't have data centers because the cost of a Kwh is already like $123134^100