Finding the Third Proportional to 96,690 and 204,996
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Solution
The third proportional to 96,690 and 204,996 is: 434,619.51
Step by Step Solution
- Step 1: Write the proportion equation
96,690 : 204,996 = 204,996 : x - Step 2: Convert to fraction form
96,690/204,996 = 204,996/x - Step 3: Cross multiply
96,690x = 204,996 × 204,996 - Step 4: Simplify right side
96,690x = 42,023,360,016 - Step 5: Solve for x
x = 42,023,360,016/96,690 - Step 6: Final answer
x = 434,619.51
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.