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Finding the Third Proportional to 95,996 and 206,709

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Solution

The third proportional to 95,996 and 206,709 is: 445,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,996 : 206,709 = 206,709 : x
  2. Step 2: Convert to fraction form
    95,996/206,709 = 206,709/x
  3. Step 3: Cross multiply
    95,996x = 206,709 × 206,709
  4. Step 4: Simplify right side
    95,996x = 42,728,610,681
  5. Step 5: Solve for x
    x = 42,728,610,681/95,996
  6. Step 6: Final answer
    x = 445,108.24

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