Finding the Third Proportional to 86,120 and 189,216
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Solution
The third proportional to 86,120 and 189,216 is: 415,730.31
Step by Step Solution
- Step 1: Write the proportion equation
86,120 : 189,216 = 189,216 : x - Step 2: Convert to fraction form
86,120/189,216 = 189,216/x - Step 3: Cross multiply
86,120x = 189,216 × 189,216 - Step 4: Simplify right side
86,120x = 35,802,694,656 - Step 5: Solve for x
x = 35,802,694,656/86,120 - Step 6: Final answer
x = 415,730.31
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.