Finding the Third Proportional to 47,234.07 and 102,077.09
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Solution
The third proportional to 47,234.07 and 102,077.09 is: 220,597.77
Step by Step Solution
- Step 1: Write the proportion equation
47,234.07 : 102,077.09 = 102,077.09 : x - Step 2: Convert to fraction form
47,234.07/102,077.09 = 102,077.09/x - Step 3: Cross multiply
47,234.07x = 102,077.09 × 102,077.09 - Step 4: Simplify right side
47,234.07x = 10,419,731,473.49 - Step 5: Solve for x
x = 10,419,731,473.49/47,234.07 - Step 6: Final answer
x = 220,597.77
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.