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Finding the Third Proportional to 81,166,100.50 and 173,824,589

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Solution

The third proportional to 81,166,100.50 and 173,824,589 is: 372,261,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,166,100.50 : 173,824,589 = 173,824,589 : x
  2. Step 2: Convert to fraction form
    81,166,100.50/173,824,589 = 173,824,589/x
  3. Step 3: Cross multiply
    81,166,100.50x = 173,824,589 × 173,824,589
  4. Step 4: Simplify right side
    81,166,100.50x = 30,214,987,741,018,920
  5. Step 5: Solve for x
    x = 30,214,987,741,018,920/81,166,100.50
  6. Step 6: Final answer
    x = 372,261,172.52

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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.