Finding the Third Proportional to 91,442 and 199,972
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Solution
The third proportional to 91,442 and 199,972 is: 437,313.28
Step by Step Solution
- Step 1: Write the proportion equation
91,442 : 199,972 = 199,972 : x - Step 2: Convert to fraction form
91,442/199,972 = 199,972/x - Step 3: Cross multiply
91,442x = 199,972 × 199,972 - Step 4: Simplify right side
91,442x = 39,988,800,784 - Step 5: Solve for x
x = 39,988,800,784/91,442 - Step 6: Final answer
x = 437,313.28
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.