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Finding the Third Proportional to 89,731,692 and 194,777,664

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Solution

The third proportional to 89,731,692 and 194,777,664 is: 422,797,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731,692 : 194,777,664 = 194,777,664 : x
  2. Step 2: Convert to fraction form
    89,731,692/194,777,664 = 194,777,664/x
  3. Step 3: Cross multiply
    89,731,692x = 194,777,664 × 194,777,664
  4. Step 4: Simplify right side
    89,731,692x = 37,938,338,393,296,896
  5. Step 5: Solve for x
    x = 37,938,338,393,296,896/89,731,692
  6. Step 6: Final answer
    x = 422,797,537.28

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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.