Finding the Third Proportional to 49,261.75 and 105,914.75
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Solution
The third proportional to 49,261.75 and 105,914.75 is: 227,720.99
Step by Step Solution
- Step 1: Write the proportion equation
49,261.75 : 105,914.75 = 105,914.75 : x - Step 2: Convert to fraction form
49,261.75/105,914.75 = 105,914.75/x - Step 3: Cross multiply
49,261.75x = 105,914.75 × 105,914.75 - Step 4: Simplify right side
49,261.75x = 11,217,934,267.56 - Step 5: Solve for x
x = 11,217,934,267.56/49,261.75 - Step 6: Final answer
x = 227,720.99
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.