Finding the Third Proportional to 83,197.13 and 182,143.69
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Solution
The third proportional to 83,197.13 and 182,143.69 is: 398,767.66
Step by Step Solution
- Step 1: Write the proportion equation
83,197.13 : 182,143.69 = 182,143.69 : x - Step 2: Convert to fraction form
83,197.13/182,143.69 = 182,143.69/x - Step 3: Cross multiply
83,197.13x = 182,143.69 × 182,143.69 - Step 4: Simplify right side
83,197.13x = 33,176,322,896.10 - Step 5: Solve for x
x = 33,176,322,896.10/83,197.13 - Step 6: Final answer
x = 398,767.66
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.