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Finding the Third Proportional to 110.94 and 199.10

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Solution

The third proportional to 110.94 and 199.10 is: 357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 199.10 = 199.10 : x
  2. Step 2: Convert to fraction form
    110.94/199.10 = 199.10/x
  3. Step 3: Cross multiply
    110.94x = 199.10 × 199.10
  4. Step 4: Simplify right side
    110.94x = 39,640.27
  5. Step 5: Solve for x
    x = 39,640.27/110.94
  6. Step 6: Final answer
    x = 357.31

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.