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Finding the Third Proportional to 89,731,685 and 194,777,667

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Solution

The third proportional to 89,731,685 and 194,777,667 is: 422,797,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731,685 : 194,777,667 = 194,777,667 : x
  2. Step 2: Convert to fraction form
    89,731,685/194,777,667 = 194,777,667/x
  3. Step 3: Cross multiply
    89,731,685x = 194,777,667 × 194,777,667
  4. Step 4: Simplify right side
    89,731,685x = 37,938,339,561,962,888
  5. Step 5: Solve for x
    x = 37,938,339,561,962,888/89,731,685
  6. Step 6: Final answer
    x = 422,797,583.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.