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Finding the Third Proportional to 202,659,891 and 410,959,030

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Solution

The third proportional to 202,659,891 and 410,959,030 is: 833,353,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,659,891 : 410,959,030 = 410,959,030 : x
  2. Step 2: Convert to fraction form
    202,659,891/410,959,030 = 410,959,030/x
  3. Step 3: Cross multiply
    202,659,891x = 410,959,030 × 410,959,030
  4. Step 4: Simplify right side
    202,659,891x = 168,887,324,338,540,896
  5. Step 5: Solve for x
    x = 168,887,324,338,540,896/202,659,891
  6. Step 6: Final answer
    x = 833,353,474.66

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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.