Finding the Third Proportional to 45,732 and 99,843
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Solution
The third proportional to 45,732 and 99,843 is: 217,979.20
Step by Step Solution
- Step 1: Write the proportion equation
45,732 : 99,843 = 99,843 : x - Step 2: Convert to fraction form
45,732/99,843 = 99,843/x - Step 3: Cross multiply
45,732x = 99,843 × 99,843 - Step 4: Simplify right side
45,732x = 9,968,624,649 - Step 5: Solve for x
x = 9,968,624,649/45,732 - Step 6: Final answer
x = 217,979.20
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.