Finding the Third Proportional to 98,226 and 213,952
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Solution
The third proportional to 98,226 and 213,952 is: 466,021.81
Step by Step Solution
- Step 1: Write the proportion equation
98,226 : 213,952 = 213,952 : x - Step 2: Convert to fraction form
98,226/213,952 = 213,952/x - Step 3: Cross multiply
98,226x = 213,952 × 213,952 - Step 4: Simplify right side
98,226x = 45,775,458,304 - Step 5: Solve for x
x = 45,775,458,304/98,226 - Step 6: Final answer
x = 466,021.81
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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.