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Finding the Third Proportional to 95,936 and 205,968

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Solution

The third proportional to 95,936 and 205,968 is: 442,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,936 : 205,968 = 205,968 : x
  2. Step 2: Convert to fraction form
    95,936/205,968 = 205,968/x
  3. Step 3: Cross multiply
    95,936x = 205,968 × 205,968
  4. Step 4: Simplify right side
    95,936x = 42,422,817,024
  5. Step 5: Solve for x
    x = 42,422,817,024/95,936
  6. Step 6: Final answer
    x = 442,199.14

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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.