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Finding the Third Proportional to 49,468.50 and 108,738

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Solution

The third proportional to 49,468.50 and 108,738 is: 239,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,468.50 : 108,738 = 108,738 : x
  2. Step 2: Convert to fraction form
    49,468.50/108,738 = 108,738/x
  3. Step 3: Cross multiply
    49,468.50x = 108,738 × 108,738
  4. Step 4: Simplify right side
    49,468.50x = 11,823,952,644
  5. Step 5: Solve for x
    x = 11,823,952,644/49,468.50
  6. Step 6: Final answer
    x = 239,019.83

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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.