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Finding the Third Proportional to 159,949,902,503 and 333,138,764,396

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Solution

The third proportional to 159,949,902,503 and 333,138,764,396 is: 693,851,228,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,949,902,503 : 333,138,764,396 = 333,138,764,396 : x
  2. Step 2: Convert to fraction form
    159,949,902,503/333,138,764,396 = 333,138,764,396/x
  3. Step 3: Cross multiply
    159,949,902,503x = 333,138,764,396 × 333,138,764,396
  4. Step 4: Simplify right side
    159,949,902,503x = 110,981,436,343,293,598,236,672
  5. Step 5: Solve for x
    x = 110,981,436,343,293,598,236,672/159,949,902,503
  6. Step 6: Final answer
    x = 693,851,228,457.06

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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.