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Finding the Third Proportional to 49,111.31 and 107,217.56

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Solution

The third proportional to 49,111.31 and 107,217.56 is: 234,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,111.31 : 107,217.56 = 107,217.56 : x
  2. Step 2: Convert to fraction form
    49,111.31/107,217.56 = 107,217.56/x
  3. Step 3: Cross multiply
    49,111.31x = 107,217.56 × 107,217.56
  4. Step 4: Simplify right side
    49,111.31x = 11,495,605,708.44
  5. Step 5: Solve for x
    x = 11,495,605,708.44/49,111.31
  6. Step 6: Final answer
    x = 234,072.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.