Finding the Third Proportional to 46,788 and 103,416
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Solution
The third proportional to 46,788 and 103,416 is: 228,581.45
Step by Step Solution
- Step 1: Write the proportion equation
46,788 : 103,416 = 103,416 : x - Step 2: Convert to fraction form
46,788/103,416 = 103,416/x - Step 3: Cross multiply
46,788x = 103,416 × 103,416 - Step 4: Simplify right side
46,788x = 10,694,869,056 - Step 5: Solve for x
x = 10,694,869,056/46,788 - Step 6: Final answer
x = 228,581.45
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.