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Finding the Third Proportional to 96,391.50 and 144,020.25

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Solution

The third proportional to 96,391.50 and 144,020.25 is: 215,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,391.50 : 144,020.25 = 144,020.25 : x
  2. Step 2: Convert to fraction form
    96,391.50/144,020.25 = 144,020.25/x
  3. Step 3: Cross multiply
    96,391.50x = 144,020.25 × 144,020.25
  4. Step 4: Simplify right side
    96,391.50x = 20,741,832,410.06
  5. Step 5: Solve for x
    x = 20,741,832,410.06/96,391.50
  6. Step 6: Final answer
    x = 215,183.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.