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Finding the Third Proportional to 83,417.34 and 179,956.69

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Solution

The third proportional to 83,417.34 and 179,956.69 is: 388,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,417.34 : 179,956.69 = 179,956.69 : x
  2. Step 2: Convert to fraction form
    83,417.34/179,956.69 = 179,956.69/x
  3. Step 3: Cross multiply
    83,417.34x = 179,956.69 × 179,956.69
  4. Step 4: Simplify right side
    83,417.34x = 32,384,409,375.97
  5. Step 5: Solve for x
    x = 32,384,409,375.97/83,417.34
  6. Step 6: Final answer
    x = 388,221.54

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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.