Finding the Third Proportional to 96,537 and 212,721
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Solution
The third proportional to 96,537 and 212,721 is: 468,734.51
Step by Step Solution
- Step 1: Write the proportion equation
96,537 : 212,721 = 212,721 : x - Step 2: Convert to fraction form
96,537/212,721 = 212,721/x - Step 3: Cross multiply
96,537x = 212,721 × 212,721 - Step 4: Simplify right side
96,537x = 45,250,223,841 - Step 5: Solve for x
x = 45,250,223,841/96,537 - Step 6: Final answer
x = 468,734.51
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.