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Finding the Third Proportional to 42,182.72 and 91,746.56

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Solution

The third proportional to 42,182.72 and 91,746.56 is: 199,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,182.72 : 91,746.56 = 91,746.56 : x
  2. Step 2: Convert to fraction form
    42,182.72/91,746.56 = 91,746.56/x
  3. Step 3: Cross multiply
    42,182.72x = 91,746.56 × 91,746.56
  4. Step 4: Simplify right side
    42,182.72x = 8,417,431,730.57
  5. Step 5: Solve for x
    x = 8,417,431,730.57/42,182.72
  6. Step 6: Final answer
    x = 199,546.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.