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Finding the Third Proportional to 180,379,132 and 386,267,404

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Solution

The third proportional to 180,379,132 and 386,267,404 is: 827,160,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,379,132 : 386,267,404 = 386,267,404 : x
  2. Step 2: Convert to fraction form
    180,379,132/386,267,404 = 386,267,404/x
  3. Step 3: Cross multiply
    180,379,132x = 386,267,404 × 386,267,404
  4. Step 4: Simplify right side
    180,379,132x = 149,202,507,392,899,200
  5. Step 5: Solve for x
    x = 149,202,507,392,899,200/180,379,132
  6. Step 6: Final answer
    x = 827,160,579.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.