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Finding the Third Proportional to 40,881.50 and 91,331.25

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Solution

The third proportional to 40,881.50 and 91,331.25 is: 204,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,881.50 : 91,331.25 = 91,331.25 : x
  2. Step 2: Convert to fraction form
    40,881.50/91,331.25 = 91,331.25/x
  3. Step 3: Cross multiply
    40,881.50x = 91,331.25 × 91,331.25
  4. Step 4: Simplify right side
    40,881.50x = 8,341,397,226.56
  5. Step 5: Solve for x
    x = 8,341,397,226.56/40,881.50
  6. Step 6: Final answer
    x = 204,038.43

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.