Finding the Third Proportional to 106,832.25 and 227,966.06
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Solution
The third proportional to 106,832.25 and 227,966.06 is: 486,449.79
Step by Step Solution
- Step 1: Write the proportion equation
106,832.25 : 227,966.06 = 227,966.06 : x - Step 2: Convert to fraction form
106,832.25/227,966.06 = 227,966.06/x - Step 3: Cross multiply
106,832.25x = 227,966.06 × 227,966.06 - Step 4: Simplify right side
106,832.25x = 51,968,525,651.75 - Step 5: Solve for x
x = 51,968,525,651.75/106,832.25 - Step 6: Final answer
x = 486,449.79
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.