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Finding the Third Proportional to 95,415 and 207,231

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Solution

The third proportional to 95,415 and 207,231 is: 450,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,415 : 207,231 = 207,231 : x
  2. Step 2: Convert to fraction form
    95,415/207,231 = 207,231/x
  3. Step 3: Cross multiply
    95,415x = 207,231 × 207,231
  4. Step 4: Simplify right side
    95,415x = 42,944,687,361
  5. Step 5: Solve for x
    x = 42,944,687,361/95,415
  6. Step 6: Final answer
    x = 450,083.19

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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.