Finding the Third Proportional to 200,433,216 and 419,192,105
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Solution
The third proportional to 200,433,216 and 419,192,105 is: 876,711,078.14
Step by Step Solution
- Step 1: Write the proportion equation
200,433,216 : 419,192,105 = 419,192,105 : x - Step 2: Convert to fraction form
200,433,216/419,192,105 = 419,192,105/x - Step 3: Cross multiply
200,433,216x = 419,192,105 × 419,192,105 - Step 4: Simplify right side
200,433,216x = 175,722,020,894,331,040 - Step 5: Solve for x
x = 175,722,020,894,331,040/200,433,216 - Step 6: Final answer
x = 876,711,078.14
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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.