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Finding the Third Proportional to 95,164.88 and 203,451.75

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Solution

The third proportional to 95,164.88 and 203,451.75 is: 434,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,164.88 : 203,451.75 = 203,451.75 : x
  2. Step 2: Convert to fraction form
    95,164.88/203,451.75 = 203,451.75/x
  3. Step 3: Cross multiply
    95,164.88x = 203,451.75 × 203,451.75
  4. Step 4: Simplify right side
    95,164.88x = 41,392,614,578.06
  5. Step 5: Solve for x
    x = 41,392,614,578.06/95,164.88
  6. Step 6: Final answer
    x = 434,956.85

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