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Finding the Third Proportional to 41,540.50 and 90,599.75

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Solution

The third proportional to 41,540.50 and 90,599.75 is: 197,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,540.50 : 90,599.75 = 90,599.75 : x
  2. Step 2: Convert to fraction form
    41,540.50/90,599.75 = 90,599.75/x
  3. Step 3: Cross multiply
    41,540.50x = 90,599.75 × 90,599.75
  4. Step 4: Simplify right side
    41,540.50x = 8,208,314,700.06
  5. Step 5: Solve for x
    x = 8,208,314,700.06/41,540.50
  6. Step 6: Final answer
    x = 197,597.88

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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.