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Finding the Third Proportional to 40,233.25 and 88,342.75

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Solution

The third proportional to 40,233.25 and 88,342.75 is: 193,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,233.25 : 88,342.75 = 88,342.75 : x
  2. Step 2: Convert to fraction form
    40,233.25/88,342.75 = 88,342.75/x
  3. Step 3: Cross multiply
    40,233.25x = 88,342.75 × 88,342.75
  4. Step 4: Simplify right side
    40,233.25x = 7,804,441,477.56
  5. Step 5: Solve for x
    x = 7,804,441,477.56/40,233.25
  6. Step 6: Final answer
    x = 193,979.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.