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Finding the Third Proportional to 94.69 and 199.31

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Solution

The third proportional to 94.69 and 199.31 is: 419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.69 : 199.31 = 199.31 : x
  2. Step 2: Convert to fraction form
    94.69/199.31 = 199.31/x
  3. Step 3: Cross multiply
    94.69x = 199.31 × 199.31
  4. Step 4: Simplify right side
    94.69x = 39,725.47
  5. Step 5: Solve for x
    x = 39,725.47/94.69
  6. Step 6: Final answer
    x = 419.54

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