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Finding the Third Proportional to 103,235.50 and 218,876

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Solution

The third proportional to 103,235.50 and 218,876 is: 464,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,235.50 : 218,876 = 218,876 : x
  2. Step 2: Convert to fraction form
    103,235.50/218,876 = 218,876/x
  3. Step 3: Cross multiply
    103,235.50x = 218,876 × 218,876
  4. Step 4: Simplify right side
    103,235.50x = 47,906,703,376
  5. Step 5: Solve for x
    x = 47,906,703,376/103,235.50
  6. Step 6: Final answer
    x = 464,052.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.