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Finding the Third Proportional to 109.03 and 226.92

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Solution

The third proportional to 109.03 and 226.92 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.03 : 226.92 = 226.92 : x
  2. Step 2: Convert to fraction form
    109.03/226.92 = 226.92/x
  3. Step 3: Cross multiply
    109.03x = 226.92 × 226.92
  4. Step 4: Simplify right side
    109.03x = 51,493.54
  5. Step 5: Solve for x
    x = 51,493.54/109.03
  6. Step 6: Final answer
    x = 472.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.