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Finding the Third Proportional to 111,469,819 and 233,103,441

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Solution

The third proportional to 111,469,819 and 233,103,441 is: 487,461,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,819 : 233,103,441 = 233,103,441 : x
  2. Step 2: Convert to fraction form
    111,469,819/233,103,441 = 233,103,441/x
  3. Step 3: Cross multiply
    111,469,819x = 233,103,441 × 233,103,441
  4. Step 4: Simplify right side
    111,469,819x = 54,337,214,206,040,480
  5. Step 5: Solve for x
    x = 54,337,214,206,040,480/111,469,819
  6. Step 6: Final answer
    x = 487,461,222.18

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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.