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Finding the Third Proportional to 49,863 and 109,110

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Solution

The third proportional to 49,863 and 109,110 is: 238,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,863 : 109,110 = 109,110 : x
  2. Step 2: Convert to fraction form
    49,863/109,110 = 109,110/x
  3. Step 3: Cross multiply
    49,863x = 109,110 × 109,110
  4. Step 4: Simplify right side
    49,863x = 11,904,992,100
  5. Step 5: Solve for x
    x = 11,904,992,100/49,863
  6. Step 6: Final answer
    x = 238,754.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.