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Finding the Third Proportional to 159,949,902,703.50 and 333,138,764,790

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Solution

The third proportional to 159,949,902,703.50 and 333,138,764,790 is: 693,851,229,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,949,902,703.50 : 333,138,764,790 = 333,138,764,790 : x
  2. Step 2: Convert to fraction form
    159,949,902,703.50/333,138,764,790 = 333,138,764,790/x
  3. Step 3: Cross multiply
    159,949,902,703.50x = 333,138,764,790 × 333,138,764,790
  4. Step 4: Simplify right side
    159,949,902,703.50x = 110,981,436,605,806,948,646,912
  5. Step 5: Solve for x
    x = 110,981,436,605,806,948,646,912/159,949,902,703.50
  6. Step 6: Final answer
    x = 693,851,229,228.53

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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.