Finding the Third Proportional to 100,846.50 and 214,941
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Solution
The third proportional to 100,846.50 and 214,941 is: 458,118.36
Step by Step Solution
- Step 1: Write the proportion equation
100,846.50 : 214,941 = 214,941 : x - Step 2: Convert to fraction form
100,846.50/214,941 = 214,941/x - Step 3: Cross multiply
100,846.50x = 214,941 × 214,941 - Step 4: Simplify right side
100,846.50x = 46,199,633,481 - Step 5: Solve for x
x = 46,199,633,481/100,846.50 - Step 6: Final answer
x = 458,118.36
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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.