Finding the Third Proportional to 103,644 and 219,743
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Solution
The third proportional to 103,644 and 219,743 is: 465,892.73
Step by Step Solution
- Step 1: Write the proportion equation
103,644 : 219,743 = 219,743 : x - Step 2: Convert to fraction form
103,644/219,743 = 219,743/x - Step 3: Cross multiply
103,644x = 219,743 × 219,743 - Step 4: Simplify right side
103,644x = 48,286,986,049 - Step 5: Solve for x
x = 48,286,986,049/103,644 - Step 6: Final answer
x = 465,892.73
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.