Finding the Third Proportional to 47,212 and 103,496
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Solution
The third proportional to 47,212 and 103,496 is: 226,879.23
Step by Step Solution
- Step 1: Write the proportion equation
47,212 : 103,496 = 103,496 : x - Step 2: Convert to fraction form
47,212/103,496 = 103,496/x - Step 3: Cross multiply
47,212x = 103,496 × 103,496 - Step 4: Simplify right side
47,212x = 10,711,422,016 - Step 5: Solve for x
x = 10,711,422,016/47,212 - Step 6: Final answer
x = 226,879.23
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.