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Finding the Third Proportional to 41,797.27 and 90,256.78

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Solution

The third proportional to 41,797.27 and 90,256.78 is: 194,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,797.27 : 90,256.78 = 90,256.78 : x
  2. Step 2: Convert to fraction form
    41,797.27/90,256.78 = 90,256.78/x
  3. Step 3: Cross multiply
    41,797.27x = 90,256.78 × 90,256.78
  4. Step 4: Simplify right side
    41,797.27x = 8,146,286,561.61
  5. Step 5: Solve for x
    x = 8,146,286,561.61/41,797.27
  6. Step 6: Final answer
    x = 194,899.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.