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Finding the Third Proportional to 96,419 and 197,536

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Solution

The third proportional to 96,419 and 197,536 is: 404,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,419 : 197,536 = 197,536 : x
  2. Step 2: Convert to fraction form
    96,419/197,536 = 197,536/x
  3. Step 3: Cross multiply
    96,419x = 197,536 × 197,536
  4. Step 4: Simplify right side
    96,419x = 39,020,471,296
  5. Step 5: Solve for x
    x = 39,020,471,296/96,419
  6. Step 6: Final answer
    x = 404,696.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.