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Finding the Third Proportional to 102,942,327.62 and 156,825,562.11

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Solution

The third proportional to 102,942,327.62 and 156,825,562.11 is: 238,912,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942,327.62 : 156,825,562.11 = 156,825,562.11 : x
  2. Step 2: Convert to fraction form
    102,942,327.62/156,825,562.11 = 156,825,562.11/x
  3. Step 3: Cross multiply
    102,942,327.62x = 156,825,562.11 × 156,825,562.11
  4. Step 4: Simplify right side
    102,942,327.62x = 24,594,256,932,149,384
  5. Step 5: Solve for x
    x = 24,594,256,932,149,384/102,942,327.62
  6. Step 6: Final answer
    x = 238,912,967.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.