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Finding the Third Proportional to 49,456.50 and 108,997.13

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Solution

The third proportional to 49,456.50 and 108,997.13 is: 240,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456.50 : 108,997.13 = 108,997.13 : x
  2. Step 2: Convert to fraction form
    49,456.50/108,997.13 = 108,997.13/x
  3. Step 3: Cross multiply
    49,456.50x = 108,997.13 × 108,997.13
  4. Step 4: Simplify right side
    49,456.50x = 11,880,373,258.27
  5. Step 5: Solve for x
    x = 11,880,373,258.27/49,456.50
  6. Step 6: Final answer
    x = 240,218.64

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Why These Related Problems?

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