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Finding the Third Proportional to 99.83 and 211.52

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Solution

The third proportional to 99.83 and 211.52 is: 448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 211.52 = 211.52 : x
  2. Step 2: Convert to fraction form
    99.83/211.52 = 211.52/x
  3. Step 3: Cross multiply
    99.83x = 211.52 × 211.52
  4. Step 4: Simplify right side
    99.83x = 44,739.69
  5. Step 5: Solve for x
    x = 44,739.69/99.83
  6. Step 6: Final answer
    x = 448.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.