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Finding the Third Proportional to 111,469,963.50 and 233,103,735

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Solution

The third proportional to 111,469,963.50 and 233,103,735 is: 487,461,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,963.50 : 233,103,735 = 233,103,735 : x
  2. Step 2: Convert to fraction form
    111,469,963.50/233,103,735 = 233,103,735/x
  3. Step 3: Cross multiply
    111,469,963.50x = 233,103,735 × 233,103,735
  4. Step 4: Simplify right side
    111,469,963.50x = 54,337,351,270,950,224
  5. Step 5: Solve for x
    x = 54,337,351,270,950,224/111,469,963.50
  6. Step 6: Final answer
    x = 487,461,819.89

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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.