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Finding the Third Proportional to 95,022 and 207,864

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Solution

The third proportional to 95,022 and 207,864 is: 454,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,022 : 207,864 = 207,864 : x
  2. Step 2: Convert to fraction form
    95,022/207,864 = 207,864/x
  3. Step 3: Cross multiply
    95,022x = 207,864 × 207,864
  4. Step 4: Simplify right side
    95,022x = 43,207,442,496
  5. Step 5: Solve for x
    x = 43,207,442,496/95,022
  6. Step 6: Final answer
    x = 454,709.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.