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Finding the Third Proportional to 111,135,997,960 and 238,405,201,936

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Solution

The third proportional to 111,135,997,960 and 238,405,201,936 is: 511,418,814,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,135,997,960 : 238,405,201,936 = 238,405,201,936 : x
  2. Step 2: Convert to fraction form
    111,135,997,960/238,405,201,936 = 238,405,201,936/x
  3. Step 3: Cross multiply
    111,135,997,960x = 238,405,201,936 × 238,405,201,936
  4. Step 4: Simplify right side
    111,135,997,960x = 56,837,040,310,144,940,900,352
  5. Step 5: Solve for x
    x = 56,837,040,310,144,940,900,352/111,135,997,960
  6. Step 6: Final answer
    x = 511,418,814,366.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.