Finding the Third Proportional to 97,357.50 and 209,781.75
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Solution
The third proportional to 97,357.50 and 209,781.75 is: 452,028.68
Step by Step Solution
- Step 1: Write the proportion equation
97,357.50 : 209,781.75 = 209,781.75 : x - Step 2: Convert to fraction form
97,357.50/209,781.75 = 209,781.75/x - Step 3: Cross multiply
97,357.50x = 209,781.75 × 209,781.75 - Step 4: Simplify right side
97,357.50x = 44,008,382,633.06 - Step 5: Solve for x
x = 44,008,382,633.06/97,357.50 - Step 6: Final answer
x = 452,028.68
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.