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Finding the Third Proportional to 83,098 and 182,811

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Solution

The third proportional to 83,098 and 182,811 is: 402,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,098 : 182,811 = 182,811 : x
  2. Step 2: Convert to fraction form
    83,098/182,811 = 182,811/x
  3. Step 3: Cross multiply
    83,098x = 182,811 × 182,811
  4. Step 4: Simplify right side
    83,098x = 33,419,861,721
  5. Step 5: Solve for x
    x = 33,419,861,721/83,098
  6. Step 6: Final answer
    x = 402,174.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.