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Finding the Third Proportional to 192,084.56 and 281,899.03

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Solution

The third proportional to 192,084.56 and 281,899.03 is: 413,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,084.56 : 281,899.03 = 281,899.03 : x
  2. Step 2: Convert to fraction form
    192,084.56/281,899.03 = 281,899.03/x
  3. Step 3: Cross multiply
    192,084.56x = 281,899.03 × 281,899.03
  4. Step 4: Simplify right side
    192,084.56x = 79,467,063,819.69
  5. Step 5: Solve for x
    x = 79,467,063,819.69/192,084.56
  6. Step 6: Final answer
    x = 413,708.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.