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Finding the Third Proportional to 95,777 and 205,967

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Solution

The third proportional to 95,777 and 205,967 is: 442,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,777 : 205,967 = 205,967 : x
  2. Step 2: Convert to fraction form
    95,777/205,967 = 205,967/x
  3. Step 3: Cross multiply
    95,777x = 205,967 × 205,967
  4. Step 4: Simplify right side
    95,777x = 42,422,405,089
  5. Step 5: Solve for x
    x = 42,422,405,089/95,777
  6. Step 6: Final answer
    x = 442,928.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.