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Finding the Third Proportional to 96.35 and 207.14

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Solution

The third proportional to 96.35 and 207.14 is: 445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.35 : 207.14 = 207.14 : x
  2. Step 2: Convert to fraction form
    96.35/207.14 = 207.14/x
  3. Step 3: Cross multiply
    96.35x = 207.14 × 207.14
  4. Step 4: Simplify right side
    96.35x = 42,907.24
  5. Step 5: Solve for x
    x = 42,907.24/96.35
  6. Step 6: Final answer
    x = 445.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.