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Finding the Third Proportional to 96,129.19 and 207,049.69

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Solution

The third proportional to 96,129.19 and 207,049.69 is: 445,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,129.19 : 207,049.69 = 207,049.69 : x
  2. Step 2: Convert to fraction form
    96,129.19/207,049.69 = 207,049.69/x
  3. Step 3: Cross multiply
    96,129.19x = 207,049.69 × 207,049.69
  4. Step 4: Simplify right side
    96,129.19x = 42,869,573,093.85
  5. Step 5: Solve for x
    x = 42,869,573,093.85/96,129.19
  6. Step 6: Final answer
    x = 445,957.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.