Finding the Third Proportional to 111,469,847 and 233,103,493
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Solution
The third proportional to 111,469,847 and 233,103,493 is: 487,461,317.22
Step by Step Solution
- Step 1: Write the proportion equation
111,469,847 : 233,103,493 = 233,103,493 : x - Step 2: Convert to fraction form
111,469,847/233,103,493 = 233,103,493/x - Step 3: Cross multiply
111,469,847x = 233,103,493 × 233,103,493 - Step 4: Simplify right side
111,469,847x = 54,337,238,448,801,048 - Step 5: Solve for x
x = 54,337,238,448,801,048/111,469,847 - Step 6: Final answer
x = 487,461,317.22
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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.