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Finding the Third Proportional to 89,731,588 and 194,777,468

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Solution

The third proportional to 89,731,588 and 194,777,468 is: 422,797,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731,588 : 194,777,468 = 194,777,468 : x
  2. Step 2: Convert to fraction form
    89,731,588/194,777,468 = 194,777,468/x
  3. Step 3: Cross multiply
    89,731,588x = 194,777,468 × 194,777,468
  4. Step 4: Simplify right side
    89,731,588x = 37,938,262,040,491,024
  5. Step 5: Solve for x
    x = 37,938,262,040,491,024/89,731,588
  6. Step 6: Final answer
    x = 422,797,176.40

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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.