Finding the Third Proportional to 96,870 and 199,932
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Solution
The third proportional to 96,870 and 199,932 is: 412,643.80
Step by Step Solution
- Step 1: Write the proportion equation
96,870 : 199,932 = 199,932 : x - Step 2: Convert to fraction form
96,870/199,932 = 199,932/x - Step 3: Cross multiply
96,870x = 199,932 × 199,932 - Step 4: Simplify right side
96,870x = 39,972,804,624 - Step 5: Solve for x
x = 39,972,804,624/96,870 - Step 6: Final answer
x = 412,643.80
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.