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Finding the Third Proportional to 48,400 and 103,711

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Solution

The third proportional to 48,400 and 103,711 is: 222,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,400 : 103,711 = 103,711 : x
  2. Step 2: Convert to fraction form
    48,400/103,711 = 103,711/x
  3. Step 3: Cross multiply
    48,400x = 103,711 × 103,711
  4. Step 4: Simplify right side
    48,400x = 10,755,971,521
  5. Step 5: Solve for x
    x = 10,755,971,521/48,400
  6. Step 6: Final answer
    x = 222,230.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.