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Finding the Third Proportional to 111,469,908 and 233,103,614

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Solution

The third proportional to 111,469,908 and 233,103,614 is: 487,461,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,908 : 233,103,614 = 233,103,614 : x
  2. Step 2: Convert to fraction form
    111,469,908/233,103,614 = 233,103,614/x
  3. Step 3: Cross multiply
    111,469,908x = 233,103,614 × 233,103,614
  4. Step 4: Simplify right side
    111,469,908x = 54,337,294,859,860,992
  5. Step 5: Solve for x
    x = 54,337,294,859,860,992/111,469,908
  6. Step 6: Final answer
    x = 487,461,556.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.