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Finding the Third Proportional to 87,226,806 and 190,297,203

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Solution

The third proportional to 87,226,806 and 190,297,203 is: 415,159,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,226,806 : 190,297,203 = 190,297,203 : x
  2. Step 2: Convert to fraction form
    87,226,806/190,297,203 = 190,297,203/x
  3. Step 3: Cross multiply
    87,226,806x = 190,297,203 × 190,297,203
  4. Step 4: Simplify right side
    87,226,806x = 36,213,025,469,623,208
  5. Step 5: Solve for x
    x = 36,213,025,469,623,208/87,226,806
  6. Step 6: Final answer
    x = 415,159,365.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.