Finding the Third Proportional to 45,576 and 99,792
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Solution
The third proportional to 45,576 and 99,792 is: 218,501.91
Step by Step Solution
- Step 1: Write the proportion equation
45,576 : 99,792 = 99,792 : x - Step 2: Convert to fraction form
45,576/99,792 = 99,792/x - Step 3: Cross multiply
45,576x = 99,792 × 99,792 - Step 4: Simplify right side
45,576x = 9,958,443,264 - Step 5: Solve for x
x = 9,958,443,264/45,576 - Step 6: Final answer
x = 218,501.91
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.