Finding the Third Proportional to 282,586,524.75 and 381,679,431.75
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Solution
The third proportional to 282,586,524.75 and 381,679,431.75 is: 515,520,648.94
Step by Step Solution
- Step 1: Write the proportion equation
282,586,524.75 : 381,679,431.75 = 381,679,431.75 : x - Step 2: Convert to fraction form
282,586,524.75/381,679,431.75 = 381,679,431.75/x - Step 3: Cross multiply
282,586,524.75x = 381,679,431.75 × 381,679,431.75 - Step 4: Simplify right side
282,586,524.75x = 145,679,188,621,002,912 - Step 5: Solve for x
x = 145,679,188,621,002,912/282,586,524.75 - Step 6: Final answer
x = 515,520,648.94
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.