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Finding the Third Proportional to 79,978,974.75 and 165,629,245.50

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Solution

The third proportional to 79,978,974.75 and 165,629,245.50 is: 343,003,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,978,974.75 : 165,629,245.50 = 165,629,245.50 : x
  2. Step 2: Convert to fraction form
    79,978,974.75/165,629,245.50 = 165,629,245.50/x
  3. Step 3: Cross multiply
    79,978,974.75x = 165,629,245.50 × 165,629,245.50
  4. Step 4: Simplify right side
    79,978,974.75x = 27,433,046,964,899,272
  5. Step 5: Solve for x
    x = 27,433,046,964,899,272/79,978,974.75
  6. Step 6: Final answer
    x = 343,003,233.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.