Finding the Third Proportional to 99,950 and 214,721
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Solution
The third proportional to 99,950 and 214,721 is: 461,281.72
Step by Step Solution
- Step 1: Write the proportion equation
99,950 : 214,721 = 214,721 : x - Step 2: Convert to fraction form
99,950/214,721 = 214,721/x - Step 3: Cross multiply
99,950x = 214,721 × 214,721 - Step 4: Simplify right side
99,950x = 46,105,107,841 - Step 5: Solve for x
x = 46,105,107,841/99,950 - Step 6: Final answer
x = 461,281.72
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.