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Finding the Third Proportional to 91.83 and 211.15

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Solution

The third proportional to 91.83 and 211.15 is: 485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.83 : 211.15 = 211.15 : x
  2. Step 2: Convert to fraction form
    91.83/211.15 = 211.15/x
  3. Step 3: Cross multiply
    91.83x = 211.15 × 211.15
  4. Step 4: Simplify right side
    91.83x = 44,583.66
  5. Step 5: Solve for x
    x = 44,583.66/91.83
  6. Step 6: Final answer
    x = 485.51

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.