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Finding the Third Proportional to 41,431.50 and 90,274.50

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Solution

The third proportional to 41,431.50 and 90,274.50 is: 196,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,431.50 : 90,274.50 = 90,274.50 : x
  2. Step 2: Convert to fraction form
    41,431.50/90,274.50 = 90,274.50/x
  3. Step 3: Cross multiply
    41,431.50x = 90,274.50 × 90,274.50
  4. Step 4: Simplify right side
    41,431.50x = 8,149,485,350.25
  5. Step 5: Solve for x
    x = 8,149,485,350.25/41,431.50
  6. Step 6: Final answer
    x = 196,697.81

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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.