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Finding the Third Proportional to 95,529.38 and 207,666.28

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Solution

The third proportional to 95,529.38 and 207,666.28 is: 451,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,529.38 : 207,666.28 = 207,666.28 : x
  2. Step 2: Convert to fraction form
    95,529.38/207,666.28 = 207,666.28/x
  3. Step 3: Cross multiply
    95,529.38x = 207,666.28 × 207,666.28
  4. Step 4: Simplify right side
    95,529.38x = 43,125,284,368.20
  5. Step 5: Solve for x
    x = 43,125,284,368.20/95,529.38
  6. Step 6: Final answer
    x = 451,434.80

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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.