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Finding the Third Proportional to 83.11 and 183.09

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Solution

The third proportional to 83.11 and 183.09 is: 403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.11 : 183.09 = 183.09 : x
  2. Step 2: Convert to fraction form
    83.11/183.09 = 183.09/x
  3. Step 3: Cross multiply
    83.11x = 183.09 × 183.09
  4. Step 4: Simplify right side
    83.11x = 33,523.32
  5. Step 5: Solve for x
    x = 33,523.32/83.11
  6. Step 6: Final answer
    x = 403.36

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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.