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Finding the Third Proportional to 44,517.38 and 97,782.75

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Solution

The third proportional to 44,517.38 and 97,782.75 is: 214,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,517.38 : 97,782.75 = 97,782.75 : x
  2. Step 2: Convert to fraction form
    44,517.38/97,782.75 = 97,782.75/x
  3. Step 3: Cross multiply
    44,517.38x = 97,782.75 × 97,782.75
  4. Step 4: Simplify right side
    44,517.38x = 9,561,466,197.56
  5. Step 5: Solve for x
    x = 9,561,466,197.56/44,517.38
  6. Step 6: Final answer
    x = 214,780.55

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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.