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Finding the Third Proportional to 95,033.25 and 206,496

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Solution

The third proportional to 95,033.25 and 206,496 is: 448,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,033.25 : 206,496 = 206,496 : x
  2. Step 2: Convert to fraction form
    95,033.25/206,496 = 206,496/x
  3. Step 3: Cross multiply
    95,033.25x = 206,496 × 206,496
  4. Step 4: Simplify right side
    95,033.25x = 42,640,598,016
  5. Step 5: Solve for x
    x = 42,640,598,016/95,033.25
  6. Step 6: Final answer
    x = 448,691.36

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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.