Finding the Third Proportional to 83,224.69 and 182,022.19
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Solution
The third proportional to 83,224.69 and 182,022.19 is: 398,103.95
Step by Step Solution
- Step 1: Write the proportion equation
83,224.69 : 182,022.19 = 182,022.19 : x - Step 2: Convert to fraction form
83,224.69/182,022.19 = 182,022.19/x - Step 3: Cross multiply
83,224.69x = 182,022.19 × 182,022.19 - Step 4: Simplify right side
83,224.69x = 33,132,076,742.29 - Step 5: Solve for x
x = 33,132,076,742.29/83,224.69 - Step 6: Final answer
x = 398,103.95
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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.