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Finding the Third Proportional to 79,923 and 162,208.50

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Solution

The third proportional to 79,923 and 162,208.50 is: 329,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,923 : 162,208.50 = 162,208.50 : x
  2. Step 2: Convert to fraction form
    79,923/162,208.50 = 162,208.50/x
  3. Step 3: Cross multiply
    79,923x = 162,208.50 × 162,208.50
  4. Step 4: Simplify right side
    79,923x = 26,311,597,472.25
  5. Step 5: Solve for x
    x = 26,311,597,472.25/79,923
  6. Step 6: Final answer
    x = 329,211.83

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.