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Finding the Third Proportional to 80,049 and 168,913.50

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Solution

The third proportional to 80,049 and 168,913.50 is: 356,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,049 : 168,913.50 = 168,913.50 : x
  2. Step 2: Convert to fraction form
    80,049/168,913.50 = 168,913.50/x
  3. Step 3: Cross multiply
    80,049x = 168,913.50 × 168,913.50
  4. Step 4: Simplify right side
    80,049x = 28,531,770,482.25
  5. Step 5: Solve for x
    x = 28,531,770,482.25/80,049
  6. Step 6: Final answer
    x = 356,428.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.