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Finding the Third Proportional to 111,027,474 and 240,589,476

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Solution

The third proportional to 111,027,474 and 240,589,476 is: 521,342,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,027,474 : 240,589,476 = 240,589,476 : x
  2. Step 2: Convert to fraction form
    111,027,474/240,589,476 = 240,589,476/x
  3. Step 3: Cross multiply
    111,027,474x = 240,589,476 × 240,589,476
  4. Step 4: Simplify right side
    111,027,474x = 57,883,295,961,954,576
  5. Step 5: Solve for x
    x = 57,883,295,961,954,576/111,027,474
  6. Step 6: Final answer
    x = 521,342,095.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.