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Finding the Third Proportional to 96,981.19 and 150,514.88

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Solution

The third proportional to 96,981.19 and 150,514.88 is: 233,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,981.19 : 150,514.88 = 150,514.88 : x
  2. Step 2: Convert to fraction form
    96,981.19/150,514.88 = 150,514.88/x
  3. Step 3: Cross multiply
    96,981.19x = 150,514.88 × 150,514.88
  4. Step 4: Simplify right side
    96,981.19x = 22,654,727,596.27
  5. Step 5: Solve for x
    x = 22,654,727,596.27/96,981.19
  6. Step 6: Final answer
    x = 233,599.20

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Why These Related Problems?

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