Finding the Third Proportional to 96,241 and 203,014
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Solution
The third proportional to 96,241 and 203,014 is: 428,244.55
Step by Step Solution
- Step 1: Write the proportion equation
96,241 : 203,014 = 203,014 : x - Step 2: Convert to fraction form
96,241/203,014 = 203,014/x - Step 3: Cross multiply
96,241x = 203,014 × 203,014 - Step 4: Simplify right side
96,241x = 41,214,684,196 - Step 5: Solve for x
x = 41,214,684,196/96,241 - Step 6: Final answer
x = 428,244.55
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.