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Finding the Third Proportional to 96,628 and 195,986

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Solution

The third proportional to 96,628 and 195,986 is: 397,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,628 : 195,986 = 195,986 : x
  2. Step 2: Convert to fraction form
    96,628/195,986 = 195,986/x
  3. Step 3: Cross multiply
    96,628x = 195,986 × 195,986
  4. Step 4: Simplify right side
    96,628x = 38,410,512,196
  5. Step 5: Solve for x
    x = 38,410,512,196/96,628
  6. Step 6: Final answer
    x = 397,509.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.