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Finding the Third Proportional to 159,949,902,692 and 333,138,764,767

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Solution

The third proportional to 159,949,902,692 and 333,138,764,767 is: 693,851,229,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,949,902,692 : 333,138,764,767 = 333,138,764,767 : x
  2. Step 2: Convert to fraction form
    159,949,902,692/333,138,764,767 = 333,138,764,767/x
  3. Step 3: Cross multiply
    159,949,902,692x = 333,138,764,767 × 333,138,764,767
  4. Step 4: Simplify right side
    159,949,902,692x = 110,981,436,590,482,555,666,432
  5. Step 5: Solve for x
    x = 110,981,436,590,482,555,666,432/159,949,902,692
  6. Step 6: Final answer
    x = 693,851,229,182.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.