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Finding the Third Proportional to 96,563,380 and 206,933,192

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Solution

The third proportional to 96,563,380 and 206,933,192 is: 443,453,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,563,380 : 206,933,192 = 206,933,192 : x
  2. Step 2: Convert to fraction form
    96,563,380/206,933,192 = 206,933,192/x
  3. Step 3: Cross multiply
    96,563,380x = 206,933,192 × 206,933,192
  4. Step 4: Simplify right side
    96,563,380x = 42,821,345,951,308,864
  5. Step 5: Solve for x
    x = 42,821,345,951,308,864/96,563,380
  6. Step 6: Final answer
    x = 443,453,263.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.