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Finding the Third Proportional to 159,949,906,078.50 and 333,138,770,973

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Solution

The third proportional to 159,949,906,078.50 and 333,138,770,973 is: 693,851,240,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,949,906,078.50 : 333,138,770,973 = 333,138,770,973 : x
  2. Step 2: Convert to fraction form
    159,949,906,078.50/333,138,770,973 = 333,138,770,973/x
  3. Step 3: Cross multiply
    159,949,906,078.50x = 333,138,770,973 × 333,138,770,973
  4. Step 4: Simplify right side
    159,949,906,078.50x = 110,981,440,725,400,948,834,304
  5. Step 5: Solve for x
    x = 110,981,440,725,400,948,834,304/159,949,906,078.50
  6. Step 6: Final answer
    x = 693,851,240,343.55

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