Finding the Third Proportional to 96,544.50 and 201,911.75
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Solution
The third proportional to 96,544.50 and 201,911.75 is: 422,275.27
Step by Step Solution
- Step 1: Write the proportion equation
96,544.50 : 201,911.75 = 201,911.75 : x - Step 2: Convert to fraction form
96,544.50/201,911.75 = 201,911.75/x - Step 3: Cross multiply
96,544.50x = 201,911.75 × 201,911.75 - Step 4: Simplify right side
96,544.50x = 40,768,354,788.06 - Step 5: Solve for x
x = 40,768,354,788.06/96,544.50 - Step 6: Final answer
x = 422,275.27
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.