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Finding the Third Proportional to 41,491,136.53 and 90,491,200.78

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Solution

The third proportional to 41,491,136.53 and 90,491,200.78 is: 197,359,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,491,136.53 : 90,491,200.78 = 90,491,200.78 : x
  2. Step 2: Convert to fraction form
    41,491,136.53/90,491,200.78 = 90,491,200.78/x
  3. Step 3: Cross multiply
    41,491,136.53x = 90,491,200.78 × 90,491,200.78
  4. Step 4: Simplify right side
    41,491,136.53x = 8,188,657,418,832,501
  5. Step 5: Solve for x
    x = 8,188,657,418,832,501/41,491,136.53
  6. Step 6: Final answer
    x = 197,359,197.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.