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Finding the Third Proportional to 95,826 and 197,798

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Solution

The third proportional to 95,826 and 197,798 is: 408,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,826 : 197,798 = 197,798 : x
  2. Step 2: Convert to fraction form
    95,826/197,798 = 197,798/x
  3. Step 3: Cross multiply
    95,826x = 197,798 × 197,798
  4. Step 4: Simplify right side
    95,826x = 39,124,048,804
  5. Step 5: Solve for x
    x = 39,124,048,804/95,826
  6. Step 6: Final answer
    x = 408,282.19

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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.