Finding the Third Proportional to 100,573.75 and 209,414.75
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Solution
The third proportional to 100,573.75 and 209,414.75 is: 436,043.58
Step by Step Solution
- Step 1: Write the proportion equation
100,573.75 : 209,414.75 = 209,414.75 : x - Step 2: Convert to fraction form
100,573.75/209,414.75 = 209,414.75/x - Step 3: Cross multiply
100,573.75x = 209,414.75 × 209,414.75 - Step 4: Simplify right side
100,573.75x = 43,854,537,517.56 - Step 5: Solve for x
x = 43,854,537,517.56/100,573.75 - Step 6: Final answer
x = 436,043.58
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.