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Finding the Third Proportional to 95,667.75 and 210,196.69

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Solution

The third proportional to 95,667.75 and 210,196.69 is: 461,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,667.75 : 210,196.69 = 210,196.69 : x
  2. Step 2: Convert to fraction form
    95,667.75/210,196.69 = 210,196.69/x
  3. Step 3: Cross multiply
    95,667.75x = 210,196.69 × 210,196.69
  4. Step 4: Simplify right side
    95,667.75x = 44,182,647,435.97
  5. Step 5: Solve for x
    x = 44,182,647,435.97/95,667.75
  6. Step 6: Final answer
    x = 461,834.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.