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Finding the Third Proportional to 96,887 and 208,615

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Solution

The third proportional to 96,887 and 208,615 is: 449,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,887 : 208,615 = 208,615 : x
  2. Step 2: Convert to fraction form
    96,887/208,615 = 208,615/x
  3. Step 3: Cross multiply
    96,887x = 208,615 × 208,615
  4. Step 4: Simplify right side
    96,887x = 43,520,218,225
  5. Step 5: Solve for x
    x = 43,520,218,225/96,887
  6. Step 6: Final answer
    x = 449,185.32

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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.