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Finding the Third Proportional to 99.83 and 152.03

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Solution

The third proportional to 99.83 and 152.03 is: 231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 152.03 = 152.03 : x
  2. Step 2: Convert to fraction form
    99.83/152.03 = 152.03/x
  3. Step 3: Cross multiply
    99.83x = 152.03 × 152.03
  4. Step 4: Simplify right side
    99.83x = 23,114.09
  5. Step 5: Solve for x
    x = 23,114.09/99.83
  6. Step 6: Final answer
    x = 231.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.