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Finding the Third Proportional to 111,202,305 and 231,608,670

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Solution

The third proportional to 111,202,305 and 231,608,670 is: 482,387,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,202,305 : 231,608,670 = 231,608,670 : x
  2. Step 2: Convert to fraction form
    111,202,305/231,608,670 = 231,608,670/x
  3. Step 3: Cross multiply
    111,202,305x = 231,608,670 × 231,608,670
  4. Step 4: Simplify right side
    111,202,305x = 53,642,576,019,168,896
  5. Step 5: Solve for x
    x = 53,642,576,019,168,896/111,202,305
  6. Step 6: Final answer
    x = 482,387,267.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.