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Finding the Third Proportional to 40,309.31 and 94,128.75

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Solution

The third proportional to 40,309.31 and 94,128.75 is: 219,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,309.31 : 94,128.75 = 94,128.75 : x
  2. Step 2: Convert to fraction form
    40,309.31/94,128.75 = 94,128.75/x
  3. Step 3: Cross multiply
    40,309.31x = 94,128.75 × 94,128.75
  4. Step 4: Simplify right side
    40,309.31x = 8,860,221,576.56
  5. Step 5: Solve for x
    x = 8,860,221,576.56/40,309.31
  6. Step 6: Final answer
    x = 219,805.82

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.