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Finding the Third Proportional to 96,136.88 and 149,244.19

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Solution

The third proportional to 96,136.88 and 149,244.19 is: 231,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,136.88 : 149,244.19 = 149,244.19 : x
  2. Step 2: Convert to fraction form
    96,136.88/149,244.19 = 149,244.19/x
  3. Step 3: Cross multiply
    96,136.88x = 149,244.19 × 149,244.19
  4. Step 4: Simplify right side
    96,136.88x = 22,273,827,502.54
  5. Step 5: Solve for x
    x = 22,273,827,502.54/96,136.88
  6. Step 6: Final answer
    x = 231,688.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.