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Finding the Third Proportional to 96,551.44 and 144,280.13

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Solution

The third proportional to 96,551.44 and 144,280.13 is: 215,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,551.44 : 144,280.13 = 144,280.13 : x
  2. Step 2: Convert to fraction form
    96,551.44/144,280.13 = 144,280.13/x
  3. Step 3: Cross multiply
    96,551.44x = 144,280.13 × 144,280.13
  4. Step 4: Simplify right side
    96,551.44x = 20,816,754,470.02
  5. Step 5: Solve for x
    x = 20,816,754,470.02/96,551.44
  6. Step 6: Final answer
    x = 215,602.74

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Why These Related Problems?

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