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Finding the Third Proportional to 108.21 and 222.12

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Solution

The third proportional to 108.21 and 222.12 is: 455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 222.12 = 222.12 : x
  2. Step 2: Convert to fraction form
    108.21/222.12 = 222.12/x
  3. Step 3: Cross multiply
    108.21x = 222.12 × 222.12
  4. Step 4: Simplify right side
    108.21x = 49,336.04
  5. Step 5: Solve for x
    x = 49,336.04/108.21
  6. Step 6: Final answer
    x = 455.92

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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.