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Finding the Third Proportional to 49,808.25 and 109,377

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Solution

The third proportional to 49,808.25 and 109,377 is: 240,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,808.25 : 109,377 = 109,377 : x
  2. Step 2: Convert to fraction form
    49,808.25/109,377 = 109,377/x
  3. Step 3: Cross multiply
    49,808.25x = 109,377 × 109,377
  4. Step 4: Simplify right side
    49,808.25x = 11,963,328,129
  5. Step 5: Solve for x
    x = 11,963,328,129/49,808.25
  6. Step 6: Final answer
    x = 240,187.68

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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.