Finding the Third Proportional to 86,514 and 191,814
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Solution
The third proportional to 86,514 and 191,814 is: 425,279.27
Step by Step Solution
- Step 1: Write the proportion equation
86,514 : 191,814 = 191,814 : x - Step 2: Convert to fraction form
86,514/191,814 = 191,814/x - Step 3: Cross multiply
86,514x = 191,814 × 191,814 - Step 4: Simplify right side
86,514x = 36,792,610,596 - Step 5: Solve for x
x = 36,792,610,596/86,514 - Step 6: Final answer
x = 425,279.27
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.