Finding the Third Proportional to 91,774 and 198,236
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Solution
The third proportional to 91,774 and 198,236 is: 428,198.75
Step by Step Solution
- Step 1: Write the proportion equation
91,774 : 198,236 = 198,236 : x - Step 2: Convert to fraction form
91,774/198,236 = 198,236/x - Step 3: Cross multiply
91,774x = 198,236 × 198,236 - Step 4: Simplify right side
91,774x = 39,297,511,696 - Step 5: Solve for x
x = 39,297,511,696/91,774 - Step 6: Final answer
x = 428,198.75
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.