Finding the Third Proportional to 104,096 and 222,950
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Solution
The third proportional to 104,096 and 222,950 is: 477,508.29
Step by Step Solution
- Step 1: Write the proportion equation
104,096 : 222,950 = 222,950 : x - Step 2: Convert to fraction form
104,096/222,950 = 222,950/x - Step 3: Cross multiply
104,096x = 222,950 × 222,950 - Step 4: Simplify right side
104,096x = 49,706,702,500 - Step 5: Solve for x
x = 49,706,702,500/104,096 - Step 6: Final answer
x = 477,508.29
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.