Finding the Third Proportional to 96,997.50 and 209,286
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Solution
The third proportional to 96,997.50 and 209,286 is: 451,564.52
Step by Step Solution
- Step 1: Write the proportion equation
96,997.50 : 209,286 = 209,286 : x - Step 2: Convert to fraction form
96,997.50/209,286 = 209,286/x - Step 3: Cross multiply
96,997.50x = 209,286 × 209,286 - Step 4: Simplify right side
96,997.50x = 43,800,629,796 - Step 5: Solve for x
x = 43,800,629,796/96,997.50 - Step 6: Final answer
x = 451,564.52
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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.