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Finding the Third Proportional to 81,815,082 and 176,381,103

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Solution

The third proportional to 81,815,082 and 176,381,103 is: 380,251,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,815,082 : 176,381,103 = 176,381,103 : x
  2. Step 2: Convert to fraction form
    81,815,082/176,381,103 = 176,381,103/x
  3. Step 3: Cross multiply
    81,815,082x = 176,381,103 × 176,381,103
  4. Step 4: Simplify right side
    81,815,082x = 31,110,293,495,496,608
  5. Step 5: Solve for x
    x = 31,110,293,495,496,608/81,815,082
  6. Step 6: Final answer
    x = 380,251,326.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.