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Finding the Third Proportional to 95,584 and 199,006

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Solution

The third proportional to 95,584 and 199,006 is: 414,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,584 : 199,006 = 199,006 : x
  2. Step 2: Convert to fraction form
    95,584/199,006 = 199,006/x
  3. Step 3: Cross multiply
    95,584x = 199,006 × 199,006
  4. Step 4: Simplify right side
    95,584x = 39,603,388,036
  5. Step 5: Solve for x
    x = 39,603,388,036/95,584
  6. Step 6: Final answer
    x = 414,330.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.