Finding the Third Proportional to 103,898 and 226,012
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Solution
The third proportional to 103,898 and 226,012 is: 491,649.73
Step by Step Solution
- Step 1: Write the proportion equation
103,898 : 226,012 = 226,012 : x - Step 2: Convert to fraction form
103,898/226,012 = 226,012/x - Step 3: Cross multiply
103,898x = 226,012 × 226,012 - Step 4: Simplify right side
103,898x = 51,081,424,144 - Step 5: Solve for x
x = 51,081,424,144/103,898 - Step 6: Final answer
x = 491,649.73
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.