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Finding the Third Proportional to 90,625.13 and 194,371.88

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Solution

The third proportional to 90,625.13 and 194,371.88 is: 416,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,625.13 : 194,371.88 = 194,371.88 : x
  2. Step 2: Convert to fraction form
    90,625.13/194,371.88 = 194,371.88/x
  3. Step 3: Cross multiply
    90,625.13x = 194,371.88 × 194,371.88
  4. Step 4: Simplify right side
    90,625.13x = 37,780,425,791.02
  5. Step 5: Solve for x
    x = 37,780,425,791.02/90,625.13
  6. Step 6: Final answer
    x = 416,886.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.