Finding the Third Proportional to 96,804 and 208,442
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Solution
The third proportional to 96,804 and 208,442 is: 448,825.12
Step by Step Solution
- Step 1: Write the proportion equation
96,804 : 208,442 = 208,442 : x - Step 2: Convert to fraction form
96,804/208,442 = 208,442/x - Step 3: Cross multiply
96,804x = 208,442 × 208,442 - Step 4: Simplify right side
96,804x = 43,448,067,364 - Step 5: Solve for x
x = 43,448,067,364/96,804 - Step 6: Final answer
x = 448,825.12
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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.