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Finding the Third Proportional to 50,641.31 and 117,240.19

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Solution

The third proportional to 50,641.31 and 117,240.19 is: 271,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641.31 : 117,240.19 = 117,240.19 : x
  2. Step 2: Convert to fraction form
    50,641.31/117,240.19 = 117,240.19/x
  3. Step 3: Cross multiply
    50,641.31x = 117,240.19 × 117,240.19
  4. Step 4: Simplify right side
    50,641.31x = 13,745,261,565.04
  5. Step 5: Solve for x
    x = 13,745,261,565.04/50,641.31
  6. Step 6: Final answer
    x = 271,423.88

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.