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Finding the Third Proportional to 40,861.97 and 91,292.06

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Solution

The third proportional to 40,861.97 and 91,292.06 is: 203,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,861.97 : 91,292.06 = 91,292.06 : x
  2. Step 2: Convert to fraction form
    40,861.97/91,292.06 = 91,292.06/x
  3. Step 3: Cross multiply
    40,861.97x = 91,292.06 × 91,292.06
  4. Step 4: Simplify right side
    40,861.97x = 8,334,240,675.50
  5. Step 5: Solve for x
    x = 8,334,240,675.50/40,861.97
  6. Step 6: Final answer
    x = 203,960.82

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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.