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Finding the Third Proportional to 44,264 and 95,911

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Solution

The third proportional to 44,264 and 95,911 is: 207,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,264 : 95,911 = 95,911 : x
  2. Step 2: Convert to fraction form
    44,264/95,911 = 95,911/x
  3. Step 3: Cross multiply
    44,264x = 95,911 × 95,911
  4. Step 4: Simplify right side
    44,264x = 9,198,919,921
  5. Step 5: Solve for x
    x = 9,198,919,921/44,264
  6. Step 6: Final answer
    x = 207,819.45

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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.