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Finding the Third Proportional to 97.13 and 199.31

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Solution

The third proportional to 97.13 and 199.31 is: 409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.13 : 199.31 = 199.31 : x
  2. Step 2: Convert to fraction form
    97.13/199.31 = 199.31/x
  3. Step 3: Cross multiply
    97.13x = 199.31 × 199.31
  4. Step 4: Simplify right side
    97.13x = 39,725.47
  5. Step 5: Solve for x
    x = 39,725.47/97.13
  6. Step 6: Final answer
    x = 409.01

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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.