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Finding the Third Proportional to 96,285 and 198,705

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Solution

The third proportional to 96,285 and 198,705 is: 410,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,285 : 198,705 = 198,705 : x
  2. Step 2: Convert to fraction form
    96,285/198,705 = 198,705/x
  3. Step 3: Cross multiply
    96,285x = 198,705 × 198,705
  4. Step 4: Simplify right side
    96,285x = 39,483,677,025
  5. Step 5: Solve for x
    x = 39,483,677,025/96,285
  6. Step 6: Final answer
    x = 410,070.90

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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.