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Finding the Third Proportional to 96,987.38 and 145,612.69

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Solution

The third proportional to 96,987.38 and 145,612.69 is: 218,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,987.38 : 145,612.69 = 145,612.69 : x
  2. Step 2: Convert to fraction form
    96,987.38/145,612.69 = 145,612.69/x
  3. Step 3: Cross multiply
    96,987.38x = 145,612.69 × 145,612.69
  4. Step 4: Simplify right side
    96,987.38x = 21,203,054,760.97
  5. Step 5: Solve for x
    x = 21,203,054,760.97/96,987.38
  6. Step 6: Final answer
    x = 218,616.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.