Finding the Third Proportional to 96,704.25 and 205,864.75
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Solution
The third proportional to 96,704.25 and 205,864.75 is: 438,246.46
Step by Step Solution
- Step 1: Write the proportion equation
96,704.25 : 205,864.75 = 205,864.75 : x - Step 2: Convert to fraction form
96,704.25/205,864.75 = 205,864.75/x - Step 3: Cross multiply
96,704.25x = 205,864.75 × 205,864.75 - Step 4: Simplify right side
96,704.25x = 42,380,295,292.56 - Step 5: Solve for x
x = 42,380,295,292.56/96,704.25 - Step 6: Final answer
x = 438,246.46
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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.