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Finding the Third Proportional to 101,993,209,143.50 and 218,314,040,147

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Solution

The third proportional to 101,993,209,143.50 and 218,314,040,147 is: 467,296,014,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,993,209,143.50 : 218,314,040,147 = 218,314,040,147 : x
  2. Step 2: Convert to fraction form
    101,993,209,143.50/218,314,040,147 = 218,314,040,147/x
  3. Step 3: Cross multiply
    101,993,209,143.50x = 218,314,040,147 × 218,314,040,147
  4. Step 4: Simplify right side
    101,993,209,143.50x = 47,661,020,125,305,929,465,856
  5. Step 5: Solve for x
    x = 47,661,020,125,305,929,465,856/101,993,209,143.50
  6. Step 6: Final answer
    x = 467,296,014,367.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.