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Finding the Third Proportional to 103.88 and 226.13

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Solution

The third proportional to 103.88 and 226.13 is: 492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.88 : 226.13 = 226.13 : x
  2. Step 2: Convert to fraction form
    103.88/226.13 = 226.13/x
  3. Step 3: Cross multiply
    103.88x = 226.13 × 226.13
  4. Step 4: Simplify right side
    103.88x = 51,132.52
  5. Step 5: Solve for x
    x = 51,132.52/103.88
  6. Step 6: Final answer
    x = 492.25

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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.