Finding the Third Proportional to 46,408 and 101,096
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Solution
The third proportional to 46,408 and 101,096 is: 220,229.30
Step by Step Solution
- Step 1: Write the proportion equation
46,408 : 101,096 = 101,096 : x - Step 2: Convert to fraction form
46,408/101,096 = 101,096/x - Step 3: Cross multiply
46,408x = 101,096 × 101,096 - Step 4: Simplify right side
46,408x = 10,220,401,216 - Step 5: Solve for x
x = 10,220,401,216/46,408 - Step 6: Final answer
x = 220,229.30
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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.