Finding the Third Proportional to 46,465 and 100,381
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Solution
The third proportional to 46,465 and 100,381 is: 216,858.82
Step by Step Solution
- Step 1: Write the proportion equation
46,465 : 100,381 = 100,381 : x - Step 2: Convert to fraction form
46,465/100,381 = 100,381/x - Step 3: Cross multiply
46,465x = 100,381 × 100,381 - Step 4: Simplify right side
46,465x = 10,076,345,161 - Step 5: Solve for x
x = 10,076,345,161/46,465 - Step 6: Final answer
x = 216,858.82
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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.