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Finding the Third Proportional to 83,795.06 and 171,280.69

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Solution

The third proportional to 83,795.06 and 171,280.69 is: 350,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,795.06 : 171,280.69 = 171,280.69 : x
  2. Step 2: Convert to fraction form
    83,795.06/171,280.69 = 171,280.69/x
  3. Step 3: Cross multiply
    83,795.06x = 171,280.69 × 171,280.69
  4. Step 4: Simplify right side
    83,795.06x = 29,337,073,910.47
  5. Step 5: Solve for x
    x = 29,337,073,910.47/83,795.06
  6. Step 6: Final answer
    x = 350,105.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.