Finding the Third Proportional to 45,400 and 97,116
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Solution
The third proportional to 45,400 and 97,116 is: 207,742.68
Step by Step Solution
- Step 1: Write the proportion equation
45,400 : 97,116 = 97,116 : x - Step 2: Convert to fraction form
45,400/97,116 = 97,116/x - Step 3: Cross multiply
45,400x = 97,116 × 97,116 - Step 4: Simplify right side
45,400x = 9,431,517,456 - Step 5: Solve for x
x = 9,431,517,456/45,400 - Step 6: Final answer
x = 207,742.68
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.