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If there were a map of Europe, it would be clear that Finland leads Latvia and Estonia in both land area and population, making it the strongest of the three countries seeking a Monarch.
Logically, Britain and France should have fiercely contended for Finland, and Australasia shouldn't have stood a chance at dominating the Finnish throne.
But in reality, the exact opposite was true. It was because of the fierce competition between Britain and France that both countries lost the opportunity to dominate Finland.
Neither nation wanted to see the other control Finland, and thus Australasia, far removed from Europe, became the beneficiary of their dispute.
With Latvia and Estonia being divided relatively evenly between Britain and France, Finland was left to Australasia, a move that Britain and France were quite comfortable with.