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Finding the Third Proportional to 95,536 and 207,662

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Solution

The third proportional to 95,536 and 207,662 is: 451,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,536 : 207,662 = 207,662 : x
  2. Step 2: Convert to fraction form
    95,536/207,662 = 207,662/x
  3. Step 3: Cross multiply
    95,536x = 207,662 × 207,662
  4. Step 4: Simplify right side
    95,536x = 43,123,506,244
  5. Step 5: Solve for x
    x = 43,123,506,244/95,536
  6. Step 6: Final answer
    x = 451,384.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.