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Finding the Third Proportional to 104.81 and 220.03

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Solution

The third proportional to 104.81 and 220.03 is: 461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.81 : 220.03 = 220.03 : x
  2. Step 2: Convert to fraction form
    104.81/220.03 = 220.03/x
  3. Step 3: Cross multiply
    104.81x = 220.03 × 220.03
  4. Step 4: Simplify right side
    104.81x = 48,413.75
  5. Step 5: Solve for x
    x = 48,413.75/104.81
  6. Step 6: Final answer
    x = 461.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.