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Finding the Third Proportional to 40,261.50 and 87,438.38

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Solution

The third proportional to 40,261.50 and 87,438.38 is: 189,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,261.50 : 87,438.38 = 87,438.38 : x
  2. Step 2: Convert to fraction form
    40,261.50/87,438.38 = 87,438.38/x
  3. Step 3: Cross multiply
    40,261.50x = 87,438.38 × 87,438.38
  4. Step 4: Simplify right side
    40,261.50x = 7,645,469,422.64
  5. Step 5: Solve for x
    x = 7,645,469,422.64/40,261.50
  6. Step 6: Final answer
    x = 189,895.30

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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.