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Finding the Third Proportional to 96.13 and 205.25

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Solution

The third proportional to 96.13 and 205.25 is: 438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.13 : 205.25 = 205.25 : x
  2. Step 2: Convert to fraction form
    96.13/205.25 = 205.25/x
  3. Step 3: Cross multiply
    96.13x = 205.25 × 205.25
  4. Step 4: Simplify right side
    96.13x = 42,127.56
  5. Step 5: Solve for x
    x = 42,127.56/96.13
  6. Step 6: Final answer
    x = 438.26

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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.