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Finding the Third Proportional to 105.05 and 220.85

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Solution

The third proportional to 105.05 and 220.85 is: 464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.05 : 220.85 = 220.85 : x
  2. Step 2: Convert to fraction form
    105.05/220.85 = 220.85/x
  3. Step 3: Cross multiply
    105.05x = 220.85 × 220.85
  4. Step 4: Simplify right side
    105.05x = 48,775.41
  5. Step 5: Solve for x
    x = 48,775.41/105.05
  6. Step 6: Final answer
    x = 464.32

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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.