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Finding the Third Proportional to 95,922 and 210,879

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Solution

The third proportional to 95,922 and 210,879 is: 463,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,922 : 210,879 = 210,879 : x
  2. Step 2: Convert to fraction form
    95,922/210,879 = 210,879/x
  3. Step 3: Cross multiply
    95,922x = 210,879 × 210,879
  4. Step 4: Simplify right side
    95,922x = 44,469,952,641
  5. Step 5: Solve for x
    x = 44,469,952,641/95,922
  6. Step 6: Final answer
    x = 463,605.35

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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.