Finding the Third Proportional to 99,850 and 217,196
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Solution
The third proportional to 99,850 and 217,196 is: 472,449.70
Step by Step Solution
- Step 1: Write the proportion equation
99,850 : 217,196 = 217,196 : x - Step 2: Convert to fraction form
99,850/217,196 = 217,196/x - Step 3: Cross multiply
99,850x = 217,196 × 217,196 - Step 4: Simplify right side
99,850x = 47,174,102,416 - Step 5: Solve for x
x = 47,174,102,416/99,850 - Step 6: Final answer
x = 472,449.70
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.