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Finding the Third Proportional to 44,939 and 98,711

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Solution

The third proportional to 44,939 and 98,711 is: 216,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,939 : 98,711 = 98,711 : x
  2. Step 2: Convert to fraction form
    44,939/98,711 = 98,711/x
  3. Step 3: Cross multiply
    44,939x = 98,711 × 98,711
  4. Step 4: Simplify right side
    44,939x = 9,743,861,521
  5. Step 5: Solve for x
    x = 9,743,861,521/44,939
  6. Step 6: Final answer
    x = 216,824.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.