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Finding the Third Proportional to 40,839.19 and 89,538.75

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Solution

The third proportional to 40,839.19 and 89,538.75 is: 196,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,839.19 : 89,538.75 = 89,538.75 : x
  2. Step 2: Convert to fraction form
    40,839.19/89,538.75 = 89,538.75/x
  3. Step 3: Cross multiply
    40,839.19x = 89,538.75 × 89,538.75
  4. Step 4: Simplify right side
    40,839.19x = 8,017,187,751.56
  5. Step 5: Solve for x
    x = 8,017,187,751.56/40,839.19
  6. Step 6: Final answer
    x = 196,311.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.