Finding the Third Proportional to 216,049.50 and 471,102
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Solution
The third proportional to 216,049.50 and 471,102 is: 1,027,251.14
Step by Step Solution
- Step 1: Write the proportion equation
216,049.50 : 471,102 = 471,102 : x - Step 2: Convert to fraction form
216,049.50/471,102 = 471,102/x - Step 3: Cross multiply
216,049.50x = 471,102 × 471,102 - Step 4: Simplify right side
216,049.50x = 221,937,094,404 - Step 5: Solve for x
x = 221,937,094,404/216,049.50 - Step 6: Final answer
x = 1,027,251.14
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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.