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Finding the Third Proportional to 43,129.97 and 93,853.69

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Solution

The third proportional to 43,129.97 and 93,853.69 is: 204,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,129.97 : 93,853.69 = 93,853.69 : x
  2. Step 2: Convert to fraction form
    43,129.97/93,853.69 = 93,853.69/x
  3. Step 3: Cross multiply
    43,129.97x = 93,853.69 × 93,853.69
  4. Step 4: Simplify right side
    43,129.97x = 8,808,514,657.35
  5. Step 5: Solve for x
    x = 8,808,514,657.35/43,129.97
  6. Step 6: Final answer
    x = 204,231.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.