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Finding the Third Proportional to 100,611,874 and 215,579,204

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Solution

The third proportional to 100,611,874 and 215,579,204 is: 461,917,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611,874 : 215,579,204 = 215,579,204 : x
  2. Step 2: Convert to fraction form
    100,611,874/215,579,204 = 215,579,204/x
  3. Step 3: Cross multiply
    100,611,874x = 215,579,204 × 215,579,204
  4. Step 4: Simplify right side
    100,611,874x = 46,474,393,197,273,616
  5. Step 5: Solve for x
    x = 46,474,393,197,273,616/100,611,874
  6. Step 6: Final answer
    x = 461,917,578.41

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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.