Finding the Third Proportional to 98,531.44 and 204,069.38
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Solution
The third proportional to 98,531.44 and 204,069.38 is: 422,649.98
Step by Step Solution
- Step 1: Write the proportion equation
98,531.44 : 204,069.38 = 204,069.38 : x - Step 2: Convert to fraction form
98,531.44/204,069.38 = 204,069.38/x - Step 3: Cross multiply
98,531.44x = 204,069.38 × 204,069.38 - Step 4: Simplify right side
98,531.44x = 41,644,309,812.89 - Step 5: Solve for x
x = 41,644,309,812.89/98,531.44 - Step 6: Final answer
x = 422,649.98
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.