Finding the Third Proportional to 97,785 and 202,914
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Solution
The third proportional to 97,785 and 202,914 is: 421,067.56
Step by Step Solution
- Step 1: Write the proportion equation
97,785 : 202,914 = 202,914 : x - Step 2: Convert to fraction form
97,785/202,914 = 202,914/x - Step 3: Cross multiply
97,785x = 202,914 × 202,914 - Step 4: Simplify right side
97,785x = 41,174,091,396 - Step 5: Solve for x
x = 41,174,091,396/97,785 - Step 6: Final answer
x = 421,067.56
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.