Finding the Third Proportional to 103,812 and 227,008
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Solution
The third proportional to 103,812 and 227,008 is: 496,403.42
Step by Step Solution
- Step 1: Write the proportion equation
103,812 : 227,008 = 227,008 : x - Step 2: Convert to fraction form
103,812/227,008 = 227,008/x - Step 3: Cross multiply
103,812x = 227,008 × 227,008 - Step 4: Simplify right side
103,812x = 51,532,632,064 - Step 5: Solve for x
x = 51,532,632,064/103,812 - Step 6: Final answer
x = 496,403.42
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.