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Finding the Third Proportional to 75,100,375,816.50 and 159,154,469,601

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Solution

The third proportional to 75,100,375,816.50 and 159,154,469,601 is: 337,283,867,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,100,375,816.50 : 159,154,469,601 = 159,154,469,601 : x
  2. Step 2: Convert to fraction form
    75,100,375,816.50/159,154,469,601 = 159,154,469,601/x
  3. Step 3: Cross multiply
    75,100,375,816.50x = 159,154,469,601 × 159,154,469,601
  4. Step 4: Simplify right side
    75,100,375,816.50x = 25,330,145,193,975,634,460,672
  5. Step 5: Solve for x
    x = 25,330,145,193,975,634,460,672/75,100,375,816.50
  6. Step 6: Final answer
    x = 337,283,867,338.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.