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Finding the Third Proportional to 95,022 and 204,624

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Solution

The third proportional to 95,022 and 204,624 is: 440,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,022 : 204,624 = 204,624 : x
  2. Step 2: Convert to fraction form
    95,022/204,624 = 204,624/x
  3. Step 3: Cross multiply
    95,022x = 204,624 × 204,624
  4. Step 4: Simplify right side
    95,022x = 41,870,981,376
  5. Step 5: Solve for x
    x = 41,870,981,376/95,022
  6. Step 6: Final answer
    x = 440,645.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.