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Finding the Third Proportional to 94.29 and 198.07

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Solution

The third proportional to 94.29 and 198.07 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.29 : 198.07 = 198.07 : x
  2. Step 2: Convert to fraction form
    94.29/198.07 = 198.07/x
  3. Step 3: Cross multiply
    94.29x = 198.07 × 198.07
  4. Step 4: Simplify right side
    94.29x = 39,231.85
  5. Step 5: Solve for x
    x = 39,231.85/94.29
  6. Step 6: Final answer
    x = 416.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.