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Finding the Third Proportional to 111,469,980 and 233,103,767

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Solution

The third proportional to 111,469,980 and 233,103,767 is: 487,461,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,980 : 233,103,767 = 233,103,767 : x
  2. Step 2: Convert to fraction form
    111,469,980/233,103,767 = 233,103,767/x
  3. Step 3: Cross multiply
    111,469,980x = 233,103,767 × 233,103,767
  4. Step 4: Simplify right side
    111,469,980x = 54,337,366,189,590,288
  5. Step 5: Solve for x
    x = 54,337,366,189,590,288/111,469,980
  6. Step 6: Final answer
    x = 487,461,881.57

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