Finding the Third Proportional to 105,014 and 230,441.50
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Solution
The third proportional to 105,014 and 230,441.50 is: 505,678.15
Step by Step Solution
- Step 1: Write the proportion equation
105,014 : 230,441.50 = 230,441.50 : x - Step 2: Convert to fraction form
105,014/230,441.50 = 230,441.50/x - Step 3: Cross multiply
105,014x = 230,441.50 × 230,441.50 - Step 4: Simplify right side
105,014x = 53,103,284,922.25 - Step 5: Solve for x
x = 53,103,284,922.25/105,014 - Step 6: Final answer
x = 505,678.15
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.