Finding the Third Proportional to 97,245 and 214,902
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Solution
The third proportional to 97,245 and 214,902 is: 474,912.54
Step by Step Solution
- Step 1: Write the proportion equation
97,245 : 214,902 = 214,902 : x - Step 2: Convert to fraction form
97,245/214,902 = 214,902/x - Step 3: Cross multiply
97,245x = 214,902 × 214,902 - Step 4: Simplify right side
97,245x = 46,182,869,604 - Step 5: Solve for x
x = 46,182,869,604/97,245 - Step 6: Final answer
x = 474,912.54
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.