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Finding the Third Proportional to 44,417 and 95,422

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Solution

The third proportional to 44,417 and 95,422 is: 204,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,417 : 95,422 = 95,422 : x
  2. Step 2: Convert to fraction form
    44,417/95,422 = 95,422/x
  3. Step 3: Cross multiply
    44,417x = 95,422 × 95,422
  4. Step 4: Simplify right side
    44,417x = 9,105,358,084
  5. Step 5: Solve for x
    x = 9,105,358,084/44,417
  6. Step 6: Final answer
    x = 204,997.14

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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.