Finding the Third Proportional to 96,284 and 201,316
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Solution
The third proportional to 96,284 and 201,316 is: 420,922.81
Step by Step Solution
- Step 1: Write the proportion equation
96,284 : 201,316 = 201,316 : x - Step 2: Convert to fraction form
96,284/201,316 = 201,316/x - Step 3: Cross multiply
96,284x = 201,316 × 201,316 - Step 4: Simplify right side
96,284x = 40,528,131,856 - Step 5: Solve for x
x = 40,528,131,856/96,284 - Step 6: Final answer
x = 420,922.81
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.