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Finding the Third Proportional to 101,079 and 207,996

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Solution

The third proportional to 101,079 and 207,996 is: 428,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,079 : 207,996 = 207,996 : x
  2. Step 2: Convert to fraction form
    101,079/207,996 = 207,996/x
  3. Step 3: Cross multiply
    101,079x = 207,996 × 207,996
  4. Step 4: Simplify right side
    101,079x = 43,262,336,016
  5. Step 5: Solve for x
    x = 43,262,336,016/101,079
  6. Step 6: Final answer
    x = 428,005.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.