Finding the Third Proportional to 83,381.06 and 182,331.84
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Solution
The third proportional to 83,381.06 and 182,331.84 is: 398,710.45
Step by Step Solution
- Step 1: Write the proportion equation
83,381.06 : 182,331.84 = 182,331.84 : x - Step 2: Convert to fraction form
83,381.06/182,331.84 = 182,331.84/x - Step 3: Cross multiply
83,381.06x = 182,331.84 × 182,331.84 - Step 4: Simplify right side
83,381.06x = 33,244,901,245.27 - Step 5: Solve for x
x = 33,244,901,245.27/83,381.06 - Step 6: Final answer
x = 398,710.45
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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.