Finding the Third Proportional to 98,773.50 and 213,504
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Solution
The third proportional to 98,773.50 and 213,504 is: 461,499.88
Step by Step Solution
- Step 1: Write the proportion equation
98,773.50 : 213,504 = 213,504 : x - Step 2: Convert to fraction form
98,773.50/213,504 = 213,504/x - Step 3: Cross multiply
98,773.50x = 213,504 × 213,504 - Step 4: Simplify right side
98,773.50x = 45,583,958,016 - Step 5: Solve for x
x = 45,583,958,016/98,773.50 - Step 6: Final answer
x = 461,499.88
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.