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Finding the Third Proportional to 40,915.13 and 89,120.25

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Solution

The third proportional to 40,915.13 and 89,120.25 is: 194,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,915.13 : 89,120.25 = 89,120.25 : x
  2. Step 2: Convert to fraction form
    40,915.13/89,120.25 = 89,120.25/x
  3. Step 3: Cross multiply
    40,915.13x = 89,120.25 × 89,120.25
  4. Step 4: Simplify right side
    40,915.13x = 7,942,418,960.06
  5. Step 5: Solve for x
    x = 7,942,418,960.06/40,915.13
  6. Step 6: Final answer
    x = 194,119.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.