Finding the Third Proportional to 100,014 and 213,852
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Solution
The third proportional to 100,014 and 213,852 is: 457,262.76
Step by Step Solution
- Step 1: Write the proportion equation
100,014 : 213,852 = 213,852 : x - Step 2: Convert to fraction form
100,014/213,852 = 213,852/x - Step 3: Cross multiply
100,014x = 213,852 × 213,852 - Step 4: Simplify right side
100,014x = 45,732,677,904 - Step 5: Solve for x
x = 45,732,677,904/100,014 - Step 6: Final answer
x = 457,262.76
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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.