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Finding the Third Proportional to 68,704.13 and 151,384.69

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Solution

The third proportional to 68,704.13 and 151,384.69 is: 333,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,704.13 : 151,384.69 = 151,384.69 : x
  2. Step 2: Convert to fraction form
    68,704.13/151,384.69 = 151,384.69/x
  3. Step 3: Cross multiply
    68,704.13x = 151,384.69 × 151,384.69
  4. Step 4: Simplify right side
    68,704.13x = 22,917,323,609.47
  5. Step 5: Solve for x
    x = 22,917,323,609.47/68,704.13
  6. Step 6: Final answer
    x = 333,565.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.