Finding the Third Proportional to 96,867 and 209,022
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Solution
The third proportional to 96,867 and 209,022 is: 451,032.82
Step by Step Solution
- Step 1: Write the proportion equation
96,867 : 209,022 = 209,022 : x - Step 2: Convert to fraction form
96,867/209,022 = 209,022/x - Step 3: Cross multiply
96,867x = 209,022 × 209,022 - Step 4: Simplify right side
96,867x = 43,690,196,484 - Step 5: Solve for x
x = 43,690,196,484/96,867 - Step 6: Final answer
x = 451,032.82
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.