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Finding the Third Proportional to 49,894.13 and 107,170.13

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Solution

The third proportional to 49,894.13 and 107,170.13 is: 230,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.13 : 107,170.13 = 107,170.13 : x
  2. Step 2: Convert to fraction form
    49,894.13/107,170.13 = 107,170.13/x
  3. Step 3: Cross multiply
    49,894.13x = 107,170.13 × 107,170.13
  4. Step 4: Simplify right side
    49,894.13x = 11,485,435,692.52
  5. Step 5: Solve for x
    x = 11,485,435,692.52/49,894.13
  6. Step 6: Final answer
    x = 230,196.15

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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.