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Finding the Third Proportional to 146,324,910.38 and 199,303,481.81

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Solution

The third proportional to 146,324,910.38 and 199,303,481.81 is: 271,463,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,324,910.38 : 199,303,481.81 = 199,303,481.81 : x
  2. Step 2: Convert to fraction form
    146,324,910.38/199,303,481.81 = 199,303,481.81/x
  3. Step 3: Cross multiply
    146,324,910.38x = 199,303,481.81 × 199,303,481.81
  4. Step 4: Simplify right side
    146,324,910.38x = 39,721,877,862,585,520
  5. Step 5: Solve for x
    x = 39,721,877,862,585,520/146,324,910.38
  6. Step 6: Final answer
    x = 271,463,537.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.