Finding the Third Proportional to 46,116 and 97,416
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Solution
The third proportional to 46,116 and 97,416 is: 205,782.74
Step by Step Solution
- Step 1: Write the proportion equation
46,116 : 97,416 = 97,416 : x - Step 2: Convert to fraction form
46,116/97,416 = 97,416/x - Step 3: Cross multiply
46,116x = 97,416 × 97,416 - Step 4: Simplify right side
46,116x = 9,489,877,056 - Step 5: Solve for x
x = 9,489,877,056/46,116 - Step 6: Final answer
x = 205,782.74
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.