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Finding the Third Proportional to 49,366 and 108,616

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Solution

The third proportional to 49,366 and 108,616 is: 238,978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,366 : 108,616 = 108,616 : x
  2. Step 2: Convert to fraction form
    49,366/108,616 = 108,616/x
  3. Step 3: Cross multiply
    49,366x = 108,616 × 108,616
  4. Step 4: Simplify right side
    49,366x = 11,797,435,456
  5. Step 5: Solve for x
    x = 11,797,435,456/49,366
  6. Step 6: Final answer
    x = 238,978.96

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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.