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Finding the Third Proportional to 97.47 and 207.94

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Solution

The third proportional to 97.47 and 207.94 is: 443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.47 : 207.94 = 207.94 : x
  2. Step 2: Convert to fraction form
    97.47/207.94 = 207.94/x
  3. Step 3: Cross multiply
    97.47x = 207.94 × 207.94
  4. Step 4: Simplify right side
    97.47x = 43,238.00
  5. Step 5: Solve for x
    x = 43,238.00/97.47
  6. Step 6: Final answer
    x = 443.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.