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Finding the Third Proportional to 96,444 and 197,580

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Solution

The third proportional to 96,444 and 197,580 is: 404,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,444 : 197,580 = 197,580 : x
  2. Step 2: Convert to fraction form
    96,444/197,580 = 197,580/x
  3. Step 3: Cross multiply
    96,444x = 197,580 × 197,580
  4. Step 4: Simplify right side
    96,444x = 39,037,856,400
  5. Step 5: Solve for x
    x = 39,037,856,400/96,444
  6. Step 6: Final answer
    x = 404,772.27

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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.