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Finding the Third Proportional to 84,527,414 and 129,305,031

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Solution

The third proportional to 84,527,414 and 129,305,031 is: 197,803,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,527,414 : 129,305,031 = 129,305,031 : x
  2. Step 2: Convert to fraction form
    84,527,414/129,305,031 = 129,305,031/x
  3. Step 3: Cross multiply
    84,527,414x = 129,305,031 × 129,305,031
  4. Step 4: Simplify right side
    84,527,414x = 16,719,791,041,910,960
  5. Step 5: Solve for x
    x = 16,719,791,041,910,960/84,527,414
  6. Step 6: Final answer
    x = 197,803,177.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.