Finding the Third Proportional to 111,469,947 and 233,103,693
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Solution
The third proportional to 111,469,947 and 233,103,693 is: 487,461,716.39
Step by Step Solution
- Step 1: Write the proportion equation
111,469,947 : 233,103,693 = 233,103,693 : x - Step 2: Convert to fraction form
111,469,947/233,103,693 = 233,103,693/x - Step 3: Cross multiply
111,469,947x = 233,103,693 × 233,103,693 - Step 4: Simplify right side
111,469,947x = 54,337,331,690,238,248 - Step 5: Solve for x
x = 54,337,331,690,238,248/111,469,947 - Step 6: Final answer
x = 487,461,716.39
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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.