Finding the Third Proportional to 91,414 and 203,834
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Solution
The third proportional to 91,414 and 203,834 is: 454,506.96
Step by Step Solution
- Step 1: Write the proportion equation
91,414 : 203,834 = 203,834 : x - Step 2: Convert to fraction form
91,414/203,834 = 203,834/x - Step 3: Cross multiply
91,414x = 203,834 × 203,834 - Step 4: Simplify right side
91,414x = 41,548,299,556 - Step 5: Solve for x
x = 41,548,299,556/91,414 - Step 6: Final answer
x = 454,506.96
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.