Finding the Third Proportional to 82,006,379.08 and 180,728,269.69
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Solution
The third proportional to 82,006,379.08 and 180,728,269.69 is: 398,294,715.99
Step by Step Solution
- Step 1: Write the proportion equation
82,006,379.08 : 180,728,269.69 = 180,728,269.69 : x - Step 2: Convert to fraction form
82,006,379.08/180,728,269.69 = 180,728,269.69/x - Step 3: Cross multiply
82,006,379.08x = 180,728,269.69 × 180,728,269.69 - Step 4: Simplify right side
82,006,379.08x = 32,662,707,465,296,792 - Step 5: Solve for x
x = 32,662,707,465,296,792/82,006,379.08 - Step 6: Final answer
x = 398,294,715.99
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.