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Finding the Third Proportional to 107.06 and 219.52

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Solution

The third proportional to 107.06 and 219.52 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.06 : 219.52 = 219.52 : x
  2. Step 2: Convert to fraction form
    107.06/219.52 = 219.52/x
  3. Step 3: Cross multiply
    107.06x = 219.52 × 219.52
  4. Step 4: Simplify right side
    107.06x = 48,187.11
  5. Step 5: Solve for x
    x = 48,187.11/107.06
  6. Step 6: Final answer
    x = 450.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.