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Finding the Third Proportional to 146,884,036 and 222,215,183

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Solution

The third proportional to 146,884,036 and 222,215,183 is: 336,180,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,884,036 : 222,215,183 = 222,215,183 : x
  2. Step 2: Convert to fraction form
    146,884,036/222,215,183 = 222,215,183/x
  3. Step 3: Cross multiply
    146,884,036x = 222,215,183 × 222,215,183
  4. Step 4: Simplify right side
    146,884,036x = 49,379,587,555,723,488
  5. Step 5: Solve for x
    x = 49,379,587,555,723,488/146,884,036
  6. Step 6: Final answer
    x = 336,180,764.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.