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Finding the Third Proportional to 93,828 and 199,856

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Solution

The third proportional to 93,828 and 199,856 is: 425,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,828 : 199,856 = 199,856 : x
  2. Step 2: Convert to fraction form
    93,828/199,856 = 199,856/x
  3. Step 3: Cross multiply
    93,828x = 199,856 × 199,856
  4. Step 4: Simplify right side
    93,828x = 39,942,420,736
  5. Step 5: Solve for x
    x = 39,942,420,736/93,828
  6. Step 6: Final answer
    x = 425,698.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.