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Finding the Third Proportional to 40,520.25 and 94,201.31

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Solution

The third proportional to 40,520.25 and 94,201.31 is: 218,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,520.25 : 94,201.31 = 94,201.31 : x
  2. Step 2: Convert to fraction form
    40,520.25/94,201.31 = 94,201.31/x
  3. Step 3: Cross multiply
    40,520.25x = 94,201.31 × 94,201.31
  4. Step 4: Simplify right side
    40,520.25x = 8,873,887,276.72
  5. Step 5: Solve for x
    x = 8,873,887,276.72/40,520.25
  6. Step 6: Final answer
    x = 218,998.83

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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.