Finding the Third Proportional to 96,592.50 and 208,494
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Solution
The third proportional to 96,592.50 and 208,494 is: 450,032.33
Step by Step Solution
- Step 1: Write the proportion equation
96,592.50 : 208,494 = 208,494 : x - Step 2: Convert to fraction form
96,592.50/208,494 = 208,494/x - Step 3: Cross multiply
96,592.50x = 208,494 × 208,494 - Step 4: Simplify right side
96,592.50x = 43,469,748,036 - Step 5: Solve for x
x = 43,469,748,036/96,592.50 - Step 6: Final answer
x = 450,032.33
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.