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Finding the Third Proportional to 159,949,902,732 and 333,138,764,838

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Solution

The third proportional to 159,949,902,732 and 333,138,764,838 is: 693,851,229,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,949,902,732 : 333,138,764,838 = 333,138,764,838 : x
  2. Step 2: Convert to fraction form
    159,949,902,732/333,138,764,838 = 333,138,764,838/x
  3. Step 3: Cross multiply
    159,949,902,732x = 333,138,764,838 × 333,138,764,838
  4. Step 4: Simplify right side
    159,949,902,732x = 110,981,436,637,788,264,988,672
  5. Step 5: Solve for x
    x = 110,981,436,637,788,264,988,672/159,949,902,732
  6. Step 6: Final answer
    x = 693,851,229,304.84

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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.