Finding the Third Proportional to 96,749 and 227,653
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Solution
The third proportional to 96,749 and 227,653 is: 535,673.63
Step by Step Solution
- Step 1: Write the proportion equation
96,749 : 227,653 = 227,653 : x - Step 2: Convert to fraction form
96,749/227,653 = 227,653/x - Step 3: Cross multiply
96,749x = 227,653 × 227,653 - Step 4: Simplify right side
96,749x = 51,825,888,409 - Step 5: Solve for x
x = 51,825,888,409/96,749 - Step 6: Final answer
x = 535,673.63
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.