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Finding the Third Proportional to 96,768 and 197,424

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Solution

The third proportional to 96,768 and 197,424 is: 402,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768 : 197,424 = 197,424 : x
  2. Step 2: Convert to fraction form
    96,768/197,424 = 197,424/x
  3. Step 3: Cross multiply
    96,768x = 197,424 × 197,424
  4. Step 4: Simplify right side
    96,768x = 38,976,235,776
  5. Step 5: Solve for x
    x = 38,976,235,776/96,768
  6. Step 6: Final answer
    x = 402,780.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.