Finding the Third Proportional to 49,486 and 103,831
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Solution
The third proportional to 49,486 and 103,831 is: 217,857.10
Step by Step Solution
- Step 1: Write the proportion equation
49,486 : 103,831 = 103,831 : x - Step 2: Convert to fraction form
49,486/103,831 = 103,831/x - Step 3: Cross multiply
49,486x = 103,831 × 103,831 - Step 4: Simplify right side
49,486x = 10,780,876,561 - Step 5: Solve for x
x = 10,780,876,561/49,486 - Step 6: Final answer
x = 217,857.10
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.