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Finding the Third Proportional to 120,143,762 and 180,535,544

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Solution

The third proportional to 120,143,762 and 180,535,544 is: 271,284,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,143,762 : 180,535,544 = 180,535,544 : x
  2. Step 2: Convert to fraction form
    120,143,762/180,535,544 = 180,535,544/x
  3. Step 3: Cross multiply
    120,143,762x = 180,535,544 × 180,535,544
  4. Step 4: Simplify right side
    120,143,762x = 32,593,082,647,375,936
  5. Step 5: Solve for x
    x = 32,593,082,647,375,936/120,143,762
  6. Step 6: Final answer
    x = 271,284,019.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.