Finding the Third Proportional to 96,192 and 205,504
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Solution
The third proportional to 96,192 and 205,504 is: 439,037.49
Step by Step Solution
- Step 1: Write the proportion equation
96,192 : 205,504 = 205,504 : x - Step 2: Convert to fraction form
96,192/205,504 = 205,504/x - Step 3: Cross multiply
96,192x = 205,504 × 205,504 - Step 4: Simplify right side
96,192x = 42,231,894,016 - Step 5: Solve for x
x = 42,231,894,016/96,192 - Step 6: Final answer
x = 439,037.49
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.