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Finding the Third Proportional to 159,949,902,501 and 333,138,764,391.75

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Solution

The third proportional to 159,949,902,501 and 333,138,764,391.75 is: 693,851,228,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,949,902,501 : 333,138,764,391.75 = 333,138,764,391.75 : x
  2. Step 2: Convert to fraction form
    159,949,902,501/333,138,764,391.75 = 333,138,764,391.75/x
  3. Step 3: Cross multiply
    159,949,902,501x = 333,138,764,391.75 × 333,138,764,391.75
  4. Step 4: Simplify right side
    159,949,902,501x = 110,981,436,340,461,922,942,976
  5. Step 5: Solve for x
    x = 110,981,436,340,461,922,942,976/159,949,902,501
  6. Step 6: Final answer
    x = 693,851,228,448.03

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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.