Finding the Third Proportional to 96,135 and 204,780
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Solution
The third proportional to 96,135 and 204,780 is: 436,207.92
Step by Step Solution
- Step 1: Write the proportion equation
96,135 : 204,780 = 204,780 : x - Step 2: Convert to fraction form
96,135/204,780 = 204,780/x - Step 3: Cross multiply
96,135x = 204,780 × 204,780 - Step 4: Simplify right side
96,135x = 41,934,848,400 - Step 5: Solve for x
x = 41,934,848,400/96,135 - Step 6: Final answer
x = 436,207.92
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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.