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Finding the Third Proportional to 95,451 and 197,508

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Solution

The third proportional to 95,451 and 197,508 is: 408,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,451 : 197,508 = 197,508 : x
  2. Step 2: Convert to fraction form
    95,451/197,508 = 197,508/x
  3. Step 3: Cross multiply
    95,451x = 197,508 × 197,508
  4. Step 4: Simplify right side
    95,451x = 39,009,410,064
  5. Step 5: Solve for x
    x = 39,009,410,064/95,451
  6. Step 6: Final answer
    x = 408,685.19

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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.