Finding the Third Proportional to 46,078 and 98,708
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Solution
The third proportional to 46,078 and 98,708 is: 211,451.65
Step by Step Solution
- Step 1: Write the proportion equation
46,078 : 98,708 = 98,708 : x - Step 2: Convert to fraction form
46,078/98,708 = 98,708/x - Step 3: Cross multiply
46,078x = 98,708 × 98,708 - Step 4: Simplify right side
46,078x = 9,743,269,264 - Step 5: Solve for x
x = 9,743,269,264/46,078 - Step 6: Final answer
x = 211,451.65
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.