Finding the Third Proportional to 45,214 and 96,992
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Solution
The third proportional to 45,214 and 96,992 is: 208,064.94
Step by Step Solution
- Step 1: Write the proportion equation
45,214 : 96,992 = 96,992 : x - Step 2: Convert to fraction form
45,214/96,992 = 96,992/x - Step 3: Cross multiply
45,214x = 96,992 × 96,992 - Step 4: Simplify right side
45,214x = 9,407,448,064 - Step 5: Solve for x
x = 9,407,448,064/45,214 - Step 6: Final answer
x = 208,064.94
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.