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Finding the Third Proportional to 95,819 and 197,785

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Solution

The third proportional to 95,819 and 197,785 is: 408,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,819 : 197,785 = 197,785 : x
  2. Step 2: Convert to fraction form
    95,819/197,785 = 197,785/x
  3. Step 3: Cross multiply
    95,819x = 197,785 × 197,785
  4. Step 4: Simplify right side
    95,819x = 39,118,906,225
  5. Step 5: Solve for x
    x = 39,118,906,225/95,819
  6. Step 6: Final answer
    x = 408,258.34

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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.