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Finding the Third Proportional to 49,433 and 108,705

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Solution

The third proportional to 49,433 and 108,705 is: 239,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,433 : 108,705 = 108,705 : x
  2. Step 2: Convert to fraction form
    49,433/108,705 = 108,705/x
  3. Step 3: Cross multiply
    49,433x = 108,705 × 108,705
  4. Step 4: Simplify right side
    49,433x = 11,816,777,025
  5. Step 5: Solve for x
    x = 11,816,777,025/49,433
  6. Step 6: Final answer
    x = 239,046.33

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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.