Finding the Third Proportional to 102,938 and 218,997
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Solution
The third proportional to 102,938 and 218,997 is: 465,908.47
Step by Step Solution
- Step 1: Write the proportion equation
102,938 : 218,997 = 218,997 : x - Step 2: Convert to fraction form
102,938/218,997 = 218,997/x - Step 3: Cross multiply
102,938x = 218,997 × 218,997 - Step 4: Simplify right side
102,938x = 47,959,686,009 - Step 5: Solve for x
x = 47,959,686,009/102,938 - Step 6: Final answer
x = 465,908.47
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.