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Finding the Third Proportional to 159,949,902,690 and 333,138,764,763

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Solution

The third proportional to 159,949,902,690 and 333,138,764,763 is: 693,851,229,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,949,902,690 : 333,138,764,763 = 333,138,764,763 : x
  2. Step 2: Convert to fraction form
    159,949,902,690/333,138,764,763 = 333,138,764,763/x
  3. Step 3: Cross multiply
    159,949,902,690x = 333,138,764,763 × 333,138,764,763
  4. Step 4: Simplify right side
    159,949,902,690x = 110,981,436,587,817,444,573,184
  5. Step 5: Solve for x
    x = 110,981,436,587,817,444,573,184/159,949,902,690
  6. Step 6: Final answer
    x = 693,851,229,174.62

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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.