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Finding the Third Proportional to 95,611 and 197,362

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Solution

The third proportional to 95,611 and 197,362 is: 407,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,611 : 197,362 = 197,362 : x
  2. Step 2: Convert to fraction form
    95,611/197,362 = 197,362/x
  3. Step 3: Cross multiply
    95,611x = 197,362 × 197,362
  4. Step 4: Simplify right side
    95,611x = 38,951,759,044
  5. Step 5: Solve for x
    x = 38,951,759,044/95,611
  6. Step 6: Final answer
    x = 407,398.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.