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Finding the Third Proportional to 96,338 and 199,386

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Solution

The third proportional to 96,338 and 199,386 is: 412,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,338 : 199,386 = 199,386 : x
  2. Step 2: Convert to fraction form
    96,338/199,386 = 199,386/x
  3. Step 3: Cross multiply
    96,338x = 199,386 × 199,386
  4. Step 4: Simplify right side
    96,338x = 39,754,776,996
  5. Step 5: Solve for x
    x = 39,754,776,996/96,338
  6. Step 6: Final answer
    x = 412,659.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.