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Finding the Third Proportional to 95.04 and 204.91

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Solution

The third proportional to 95.04 and 204.91 is: 441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.04 : 204.91 = 204.91 : x
  2. Step 2: Convert to fraction form
    95.04/204.91 = 204.91/x
  3. Step 3: Cross multiply
    95.04x = 204.91 × 204.91
  4. Step 4: Simplify right side
    95.04x = 41,989.17
  5. Step 5: Solve for x
    x = 41,989.17/95.04
  6. Step 6: Final answer
    x = 441.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.