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Finding the Third Proportional to 85,993.69 and 182,394.19

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Solution

The third proportional to 85,993.69 and 182,394.19 is: 386,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,993.69 : 182,394.19 = 182,394.19 : x
  2. Step 2: Convert to fraction form
    85,993.69/182,394.19 = 182,394.19/x
  3. Step 3: Cross multiply
    85,993.69x = 182,394.19 × 182,394.19
  4. Step 4: Simplify right side
    85,993.69x = 33,267,639,633.79
  5. Step 5: Solve for x
    x = 33,267,639,633.79/85,993.69
  6. Step 6: Final answer
    x = 386,861.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.