Finding the Third Proportional to 46,206 and 106,416.75
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Solution
The third proportional to 46,206 and 106,416.75 is: 245,087.75
Step by Step Solution
- Step 1: Write the proportion equation
46,206 : 106,416.75 = 106,416.75 : x - Step 2: Convert to fraction form
46,206/106,416.75 = 106,416.75/x - Step 3: Cross multiply
46,206x = 106,416.75 × 106,416.75 - Step 4: Simplify right side
46,206x = 11,324,524,680.56 - Step 5: Solve for x
x = 11,324,524,680.56/46,206 - Step 6: Final answer
x = 245,087.75
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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.