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Finding the Third Proportional to 99,542,694 and 207,031,488

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Solution

The third proportional to 99,542,694 and 207,031,488 is: 430,589,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542,694 : 207,031,488 = 207,031,488 : x
  2. Step 2: Convert to fraction form
    99,542,694/207,031,488 = 207,031,488/x
  3. Step 3: Cross multiply
    99,542,694x = 207,031,488 × 207,031,488
  4. Step 4: Simplify right side
    99,542,694x = 42,862,037,023,494,144
  5. Step 5: Solve for x
    x = 42,862,037,023,494,144/99,542,694
  6. Step 6: Final answer
    x = 430,589,481.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.