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Finding the Third Proportional to 104.47 and 226.03

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Solution

The third proportional to 104.47 and 226.03 is: 489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.47 : 226.03 = 226.03 : x
  2. Step 2: Convert to fraction form
    104.47/226.03 = 226.03/x
  3. Step 3: Cross multiply
    104.47x = 226.03 × 226.03
  4. Step 4: Simplify right side
    104.47x = 51,090.79
  5. Step 5: Solve for x
    x = 51,090.79/104.47
  6. Step 6: Final answer
    x = 489.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.