Finding the Third Proportional to 99,406 and 213,643
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Solution
The third proportional to 99,406 and 213,643 is: 459,160.73
Step by Step Solution
- Step 1: Write the proportion equation
99,406 : 213,643 = 213,643 : x - Step 2: Convert to fraction form
99,406/213,643 = 213,643/x - Step 3: Cross multiply
99,406x = 213,643 × 213,643 - Step 4: Simplify right side
99,406x = 45,643,331,449 - Step 5: Solve for x
x = 45,643,331,449/99,406 - Step 6: Final answer
x = 459,160.73
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.