Finding the Third Proportional to 100,468 and 214,264
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Solution
The third proportional to 100,468 and 214,264 is: 456,952.08
Step by Step Solution
- Step 1: Write the proportion equation
100,468 : 214,264 = 214,264 : x - Step 2: Convert to fraction form
100,468/214,264 = 214,264/x - Step 3: Cross multiply
100,468x = 214,264 × 214,264 - Step 4: Simplify right side
100,468x = 45,909,061,696 - Step 5: Solve for x
x = 45,909,061,696/100,468 - Step 6: Final answer
x = 456,952.08
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.