Finding the Third Proportional to 47,296.50 and 100,911
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Solution
The third proportional to 47,296.50 and 100,911 is: 215,301.98
Step by Step Solution
- Step 1: Write the proportion equation
47,296.50 : 100,911 = 100,911 : x - Step 2: Convert to fraction form
47,296.50/100,911 = 100,911/x - Step 3: Cross multiply
47,296.50x = 100,911 × 100,911 - Step 4: Simplify right side
47,296.50x = 10,183,029,921 - Step 5: Solve for x
x = 10,183,029,921/47,296.50 - Step 6: Final answer
x = 215,301.98
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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.