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Finding the Third Proportional to 96.47 and 203.91

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Solution

The third proportional to 96.47 and 203.91 is: 431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.47 : 203.91 = 203.91 : x
  2. Step 2: Convert to fraction form
    96.47/203.91 = 203.91/x
  3. Step 3: Cross multiply
    96.47x = 203.91 × 203.91
  4. Step 4: Simplify right side
    96.47x = 41,577.76
  5. Step 5: Solve for x
    x = 41,577.76/96.47
  6. Step 6: Final answer
    x = 431.00

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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.