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Finding the Third Proportional to 49,331.25 and 108,503.44

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Solution

The third proportional to 49,331.25 and 108,503.44 is: 238,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,331.25 : 108,503.44 = 108,503.44 : x
  2. Step 2: Convert to fraction form
    49,331.25/108,503.44 = 108,503.44/x
  3. Step 3: Cross multiply
    49,331.25x = 108,503.44 × 108,503.44
  4. Step 4: Simplify right side
    49,331.25x = 11,772,995,949.32
  5. Step 5: Solve for x
    x = 11,772,995,949.32/49,331.25
  6. Step 6: Final answer
    x = 238,651.89

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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.