Finding the Third Proportional to 50,098.50 and 109,431
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Solution
The third proportional to 50,098.50 and 109,431 is: 239,031.98
Step by Step Solution
- Step 1: Write the proportion equation
50,098.50 : 109,431 = 109,431 : x - Step 2: Convert to fraction form
50,098.50/109,431 = 109,431/x - Step 3: Cross multiply
50,098.50x = 109,431 × 109,431 - Step 4: Simplify right side
50,098.50x = 11,975,143,761 - Step 5: Solve for x
x = 11,975,143,761/50,098.50 - Step 6: Final answer
x = 239,031.98
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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.