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Finding the Third Proportional to 83,433 and 179,991

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Solution

The third proportional to 83,433 and 179,991 is: 388,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,433 : 179,991 = 179,991 : x
  2. Step 2: Convert to fraction form
    83,433/179,991 = 179,991/x
  3. Step 3: Cross multiply
    83,433x = 179,991 × 179,991
  4. Step 4: Simplify right side
    83,433x = 32,396,760,081
  5. Step 5: Solve for x
    x = 32,396,760,081/83,433
  6. Step 6: Final answer
    x = 388,296.72

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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.