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Finding the Third Proportional to 159,949,902,734 and 333,138,764,842

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Solution

The third proportional to 159,949,902,734 and 333,138,764,842 is: 693,851,229,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,949,902,734 : 333,138,764,842 = 333,138,764,842 : x
  2. Step 2: Convert to fraction form
    159,949,902,734/333,138,764,842 = 333,138,764,842/x
  3. Step 3: Cross multiply
    159,949,902,734x = 333,138,764,842 × 333,138,764,842
  4. Step 4: Simplify right side
    159,949,902,734x = 110,981,436,640,453,376,081,920
  5. Step 5: Solve for x
    x = 110,981,436,640,453,376,081,920/159,949,902,734
  6. Step 6: Final answer
    x = 693,851,229,312.83

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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.