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Finding the Third Proportional to 106.13 and 218.63

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Solution

The third proportional to 106.13 and 218.63 is: 450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 218.63 = 218.63 : x
  2. Step 2: Convert to fraction form
    106.13/218.63 = 218.63/x
  3. Step 3: Cross multiply
    106.13x = 218.63 × 218.63
  4. Step 4: Simplify right side
    106.13x = 47,796.89
  5. Step 5: Solve for x
    x = 47,796.89/106.13
  6. Step 6: Final answer
    x = 450.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.