Finding the Third Proportional to 201,284,760 and 440,255,823
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Solution
The third proportional to 201,284,760 and 440,255,823 is: 962,940,213.09
Step by Step Solution
- Step 1: Write the proportion equation
201,284,760 : 440,255,823 = 440,255,823 : x - Step 2: Convert to fraction form
201,284,760/440,255,823 = 440,255,823/x - Step 3: Cross multiply
201,284,760x = 440,255,823 × 440,255,823 - Step 4: Simplify right side
201,284,760x = 193,825,189,685,407,328 - Step 5: Solve for x
x = 193,825,189,685,407,328/201,284,760 - Step 6: Final answer
x = 962,940,213.09
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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.