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Finding the Third Proportional to 97.03 and 207.98

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Solution

The third proportional to 97.03 and 207.98 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.03 : 207.98 = 207.98 : x
  2. Step 2: Convert to fraction form
    97.03/207.98 = 207.98/x
  3. Step 3: Cross multiply
    97.03x = 207.98 × 207.98
  4. Step 4: Simplify right side
    97.03x = 43,257.50
  5. Step 5: Solve for x
    x = 43,257.50/97.03
  6. Step 6: Final answer
    x = 445.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.