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Finding the Third Proportional to 135,084,992 and 318,567,936

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Solution

The third proportional to 135,084,992 and 318,567,936 is: 751,271,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,084,992 : 318,567,936 = 318,567,936 : x
  2. Step 2: Convert to fraction form
    135,084,992/318,567,936 = 318,567,936/x
  3. Step 3: Cross multiply
    135,084,992x = 318,567,936 × 318,567,936
  4. Step 4: Simplify right side
    135,084,992x = 101,485,529,847,300,096
  5. Step 5: Solve for x
    x = 101,485,529,847,300,096/135,084,992
  6. Step 6: Final answer
    x = 751,271,687.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.