Holy shit. You're so dense, scientists need to study what you're made of.
Personally I hold a masters in economy. But even a fifth-grader should be able to inform you that 105 boys being born for every 100 girls (in peace time) isn't 5% more boys. It's 1.2% more boys. What was that you said about bare minimum math being a lost art? You know what. For once, you and I agree on something.
That 1.2% is just from babies being born. Once you factor in female infanticide you'll get an even larger gap.
Not to mention. You don't even remember that the 200m figure you came up with is a halfbaked estimate extrapolated from battles in the 1400's, applied to the past 5000 years, rather than the past 300000. psst, that's a 295000 year difference.
And before you try to do that yourself. Since we both know bare minimum math isn't your strong suit. It's gonna be a very annoying integral to solve due to lack of reliable census data.