Finding the Third Proportional to 46,242 and 99,768
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Solution
The third proportional to 46,242 and 99,768 is: 215,251.37
Step by Step Solution
- Step 1: Write the proportion equation
46,242 : 99,768 = 99,768 : x - Step 2: Convert to fraction form
46,242/99,768 = 99,768/x - Step 3: Cross multiply
46,242x = 99,768 × 99,768 - Step 4: Simplify right side
46,242x = 9,953,653,824 - Step 5: Solve for x
x = 9,953,653,824/46,242 - Step 6: Final answer
x = 215,251.37
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.