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Finding the Third Proportional to 111,469,761 and 233,103,331.50

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Solution

The third proportional to 111,469,761 and 233,103,331.50 is: 487,461,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,761 : 233,103,331.50 = 233,103,331.50 : x
  2. Step 2: Convert to fraction form
    111,469,761/233,103,331.50 = 233,103,331.50/x
  3. Step 3: Cross multiply
    111,469,761x = 233,103,331.50 × 233,103,331.50
  4. Step 4: Simplify right side
    111,469,761x = 54,337,163,156,398,896
  5. Step 5: Solve for x
    x = 54,337,163,156,398,896/111,469,761
  6. Step 6: Final answer
    x = 487,461,017.85

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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.