Finding the Third Proportional to 97,716.38 and 214,135.31
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Solution
The third proportional to 97,716.38 and 214,135.31 is: 469,255.35
Step by Step Solution
- Step 1: Write the proportion equation
97,716.38 : 214,135.31 = 214,135.31 : x - Step 2: Convert to fraction form
97,716.38/214,135.31 = 214,135.31/x - Step 3: Cross multiply
97,716.38x = 214,135.31 × 214,135.31 - Step 4: Simplify right side
97,716.38x = 45,853,932,059.47 - Step 5: Solve for x
x = 45,853,932,059.47/97,716.38 - Step 6: Final answer
x = 469,255.35
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.