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Finding the Third Proportional to 96,615 and 207,514

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Solution

The third proportional to 96,615 and 207,514 is: 445,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,615 : 207,514 = 207,514 : x
  2. Step 2: Convert to fraction form
    96,615/207,514 = 207,514/x
  3. Step 3: Cross multiply
    96,615x = 207,514 × 207,514
  4. Step 4: Simplify right side
    96,615x = 43,062,060,196
  5. Step 5: Solve for x
    x = 43,062,060,196/96,615
  6. Step 6: Final answer
    x = 445,707.81

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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.