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Finding the Third Proportional to 180,141,969 and 365,296,638

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Solution

The third proportional to 180,141,969 and 365,296,638 is: 740,758,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,141,969 : 365,296,638 = 365,296,638 : x
  2. Step 2: Convert to fraction form
    180,141,969/365,296,638 = 365,296,638/x
  3. Step 3: Cross multiply
    180,141,969x = 365,296,638 × 365,296,638
  4. Step 4: Simplify right side
    180,141,969x = 133,441,633,734,103,040
  5. Step 5: Solve for x
    x = 133,441,633,734,103,040/180,141,969
  6. Step 6: Final answer
    x = 740,758,161.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.