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Finding the Third Proportional to 111,469,828.50 and 233,103,456

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Solution

The third proportional to 111,469,828.50 and 233,103,456 is: 487,461,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,828.50 : 233,103,456 = 233,103,456 : x
  2. Step 2: Convert to fraction form
    111,469,828.50/233,103,456 = 233,103,456/x
  3. Step 3: Cross multiply
    111,469,828.50x = 233,103,456 × 233,103,456
  4. Step 4: Simplify right side
    111,469,828.50x = 54,337,221,199,143,936
  5. Step 5: Solve for x
    x = 54,337,221,199,143,936/111,469,828.50
  6. Step 6: Final answer
    x = 487,461,243.37

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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.