Finding the Third Proportional to 46,495.50 and 100,716
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Solution
The third proportional to 46,495.50 and 100,716 is: 218,165.47
Step by Step Solution
- Step 1: Write the proportion equation
46,495.50 : 100,716 = 100,716 : x - Step 2: Convert to fraction form
46,495.50/100,716 = 100,716/x - Step 3: Cross multiply
46,495.50x = 100,716 × 100,716 - Step 4: Simplify right side
46,495.50x = 10,143,712,656 - Step 5: Solve for x
x = 10,143,712,656/46,495.50 - Step 6: Final answer
x = 218,165.47
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.