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Finding the Third Proportional to 49,436 and 108,700

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Solution

The third proportional to 49,436 and 108,700 is: 239,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,436 : 108,700 = 108,700 : x
  2. Step 2: Convert to fraction form
    49,436/108,700 = 108,700/x
  3. Step 3: Cross multiply
    49,436x = 108,700 × 108,700
  4. Step 4: Simplify right side
    49,436x = 11,815,690,000
  5. Step 5: Solve for x
    x = 11,815,690,000/49,436
  6. Step 6: Final answer
    x = 239,009.83

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