Finding the Third Proportional to 96,424 and 207,647
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Solution
The third proportional to 96,424 and 207,647 is: 447,163.33
Step by Step Solution
- Step 1: Write the proportion equation
96,424 : 207,647 = 207,647 : x - Step 2: Convert to fraction form
96,424/207,647 = 207,647/x - Step 3: Cross multiply
96,424x = 207,647 × 207,647 - Step 4: Simplify right side
96,424x = 43,117,276,609 - Step 5: Solve for x
x = 43,117,276,609/96,424 - Step 6: Final answer
x = 447,163.33
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.