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Finding the Third Proportional to 95.99 and 202.30

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Solution

The third proportional to 95.99 and 202.30 is: 426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.99 : 202.30 = 202.30 : x
  2. Step 2: Convert to fraction form
    95.99/202.30 = 202.30/x
  3. Step 3: Cross multiply
    95.99x = 202.30 × 202.30
  4. Step 4: Simplify right side
    95.99x = 40,926.20
  5. Step 5: Solve for x
    x = 40,926.20/95.99
  6. Step 6: Final answer
    x = 426.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.