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Finding the Third Proportional to 95.06 and 214.94

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Solution

The third proportional to 95.06 and 214.94 is: 485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 214.94 = 214.94 : x
  2. Step 2: Convert to fraction form
    95.06/214.94 = 214.94/x
  3. Step 3: Cross multiply
    95.06x = 214.94 × 214.94
  4. Step 4: Simplify right side
    95.06x = 46,198.13
  5. Step 5: Solve for x
    x = 46,198.13/95.06
  6. Step 6: Final answer
    x = 485.98

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.