Finding the Third Proportional to 100,901.25 and 214,101.75
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Solution
The third proportional to 100,901.25 and 214,101.75 is: 454,301.20
Step by Step Solution
- Step 1: Write the proportion equation
100,901.25 : 214,101.75 = 214,101.75 : x - Step 2: Convert to fraction form
100,901.25/214,101.75 = 214,101.75/x - Step 3: Cross multiply
100,901.25x = 214,101.75 × 214,101.75 - Step 4: Simplify right side
100,901.25x = 45,839,559,353.06 - Step 5: Solve for x
x = 45,839,559,353.06/100,901.25 - Step 6: Final answer
x = 454,301.20
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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.