Let's cheat. Let's say that there's another Earth out there with human beings on it. Let's say they've been producing electrical noise for 200 years like us. Where would planet Earth #2 have to be in order for us to notice it?
If Earth 2 has been producing noise for 200 years, that gives us an upper bound of 200 light years. However – for general terrestrial traffic – our detection range is only about 1 light year [1].
There are also no stars within that distance from Earth 1. So, at current levels of technology, Earth 2 would have to be a sad star-less frozen ball that just happens to drift into our neighbourhood within the appropriate 1 light year window on its eons-long journey.
Given that, I think we got the best deal here on Earth 1.
[1] https://physics.stackexchange.com/a/245562/4602 (the author does mention interesting caveats regarding directional transmissions though)
Edit: s/200 window/1 light year window/
We're looking for radio waves. Radio waves! Like a million-year-old civilization wouldn't be communicating with nano-soliton-pulse masers across interstellar distances. And to receive one of those, earth's orbit would have to accidentally cross its path, and then only for an instant. The chances are trillions to one, and we wouldn't recognize it if it happened.