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Finding the Third Proportional to 96,981.56 and 150,515.44

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Solution

The third proportional to 96,981.56 and 150,515.44 is: 233,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,981.56 : 150,515.44 = 150,515.44 : x
  2. Step 2: Convert to fraction form
    96,981.56/150,515.44 = 150,515.44/x
  3. Step 3: Cross multiply
    96,981.56x = 150,515.44 × 150,515.44
  4. Step 4: Simplify right side
    96,981.56x = 22,654,896,925.82
  5. Step 5: Solve for x
    x = 22,654,896,925.82/96,981.56
  6. Step 6: Final answer
    x = 233,600.04

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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.