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Finding the Third Proportional to 106.32 and 216.84

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Solution

The third proportional to 106.32 and 216.84 is: 442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.32 : 216.84 = 216.84 : x
  2. Step 2: Convert to fraction form
    106.32/216.84 = 216.84/x
  3. Step 3: Cross multiply
    106.32x = 216.84 × 216.84
  4. Step 4: Simplify right side
    106.32x = 47,021.57
  5. Step 5: Solve for x
    x = 47,021.57/106.32
  6. Step 6: Final answer
    x = 442.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.