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Finding the Third Proportional to 96,885 and 209,052

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Solution

The third proportional to 96,885 and 209,052 is: 451,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,885 : 209,052 = 209,052 : x
  2. Step 2: Convert to fraction form
    96,885/209,052 = 209,052/x
  3. Step 3: Cross multiply
    96,885x = 209,052 × 209,052
  4. Step 4: Simplify right side
    96,885x = 43,702,738,704
  5. Step 5: Solve for x
    x = 43,702,738,704/96,885
  6. Step 6: Final answer
    x = 451,078.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.