Finding the Third Proportional to 96,414 and 208,868
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Solution
The third proportional to 96,414 and 208,868 is: 452,484.51
Step by Step Solution
- Step 1: Write the proportion equation
96,414 : 208,868 = 208,868 : x - Step 2: Convert to fraction form
96,414/208,868 = 208,868/x - Step 3: Cross multiply
96,414x = 208,868 × 208,868 - Step 4: Simplify right side
96,414x = 43,625,841,424 - Step 5: Solve for x
x = 43,625,841,424/96,414 - Step 6: Final answer
x = 452,484.51
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.