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Finding the Third Proportional to 202,659,759 and 410,958,795

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Solution

The third proportional to 202,659,759 and 410,958,795 is: 833,353,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,659,759 : 410,958,795 = 410,958,795 : x
  2. Step 2: Convert to fraction form
    202,659,759/410,958,795 = 410,958,795/x
  3. Step 3: Cross multiply
    202,659,759x = 410,958,795 × 410,958,795
  4. Step 4: Simplify right side
    202,659,759x = 168,887,131,187,852,032
  5. Step 5: Solve for x
    x = 168,887,131,187,852,032/202,659,759
  6. Step 6: Final answer
    x = 833,353,064.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.