Finding the Third Proportional to 97,232 and 209,227
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Solution
The third proportional to 97,232 and 209,227 is: 450,221.51
Step by Step Solution
- Step 1: Write the proportion equation
97,232 : 209,227 = 209,227 : x - Step 2: Convert to fraction form
97,232/209,227 = 209,227/x - Step 3: Cross multiply
97,232x = 209,227 × 209,227 - Step 4: Simplify right side
97,232x = 43,775,937,529 - Step 5: Solve for x
x = 43,775,937,529/97,232 - Step 6: Final answer
x = 450,221.51
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.