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Finding the Third Proportional to 146,982,546 and 320,860,818

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Solution

The third proportional to 146,982,546 and 320,860,818 is: 700,434,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,982,546 : 320,860,818 = 320,860,818 : x
  2. Step 2: Convert to fraction form
    146,982,546/320,860,818 = 320,860,818/x
  3. Step 3: Cross multiply
    146,982,546x = 320,860,818 × 320,860,818
  4. Step 4: Simplify right side
    146,982,546x = 102,951,664,527,629,120
  5. Step 5: Solve for x
    x = 102,951,664,527,629,120/146,982,546
  6. Step 6: Final answer
    x = 700,434,625.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.