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Finding the Third Proportional to 89,731,624.50 and 194,777,547

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Solution

The third proportional to 89,731,624.50 and 194,777,547 is: 422,797,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731,624.50 : 194,777,547 = 194,777,547 : x
  2. Step 2: Convert to fraction form
    89,731,624.50/194,777,547 = 194,777,547/x
  3. Step 3: Cross multiply
    89,731,624.50x = 194,777,547 × 194,777,547
  4. Step 4: Simplify right side
    89,731,624.50x = 37,938,292,815,337,208
  5. Step 5: Solve for x
    x = 37,938,292,815,337,208/89,731,624.50
  6. Step 6: Final answer
    x = 422,797,347.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.