Finding the Third Proportional to 161,412,218.44 and 226,493,306.16
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Solution
The third proportional to 161,412,218.44 and 226,493,306.16 is: 317,814,959.92
Step by Step Solution
- Step 1: Write the proportion equation
161,412,218.44 : 226,493,306.16 = 226,493,306.16 : x - Step 2: Convert to fraction form
161,412,218.44/226,493,306.16 = 226,493,306.16/x - Step 3: Cross multiply
161,412,218.44x = 226,493,306.16 × 226,493,306.16 - Step 4: Simplify right side
161,412,218.44x = 51,299,217,733,588,792 - Step 5: Solve for x
x = 51,299,217,733,588,792/161,412,218.44 - Step 6: Final answer
x = 317,814,959.92
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.