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Finding the Third Proportional to 90,561,120 and 195,538,836

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Solution

The third proportional to 90,561,120 and 195,538,836 is: 422,205,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,561,120 : 195,538,836 = 195,538,836 : x
  2. Step 2: Convert to fraction form
    90,561,120/195,538,836 = 195,538,836/x
  3. Step 3: Cross multiply
    90,561,120x = 195,538,836 × 195,538,836
  4. Step 4: Simplify right side
    90,561,120x = 38,235,436,384,234,896
  5. Step 5: Solve for x
    x = 38,235,436,384,234,896/90,561,120
  6. Step 6: Final answer
    x = 422,205,869.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.