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Finding the Third Proportional to 192,839.91 and 415,201.78

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Solution

The third proportional to 192,839.91 and 415,201.78 is: 893,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,839.91 : 415,201.78 = 415,201.78 : x
  2. Step 2: Convert to fraction form
    192,839.91/415,201.78 = 415,201.78/x
  3. Step 3: Cross multiply
    192,839.91x = 415,201.78 × 415,201.78
  4. Step 4: Simplify right side
    192,839.91x = 172,392,519,153.17
  5. Step 5: Solve for x
    x = 172,392,519,153.17/192,839.91
  6. Step 6: Final answer
    x = 893,967.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.