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Finding the Third Proportional to 97.06 and 202.94

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Solution

The third proportional to 97.06 and 202.94 is: 424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.06 : 202.94 = 202.94 : x
  2. Step 2: Convert to fraction form
    97.06/202.94 = 202.94/x
  3. Step 3: Cross multiply
    97.06x = 202.94 × 202.94
  4. Step 4: Simplify right side
    97.06x = 41,183.63
  5. Step 5: Solve for x
    x = 41,183.63/97.06
  6. Step 6: Final answer
    x = 424.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.