Finding the Third Proportional to 45,516 and 99,780
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Solution
The third proportional to 45,516 and 99,780 is: 218,737.33
Step by Step Solution
- Step 1: Write the proportion equation
45,516 : 99,780 = 99,780 : x - Step 2: Convert to fraction form
45,516/99,780 = 99,780/x - Step 3: Cross multiply
45,516x = 99,780 × 99,780 - Step 4: Simplify right side
45,516x = 9,956,048,400 - Step 5: Solve for x
x = 9,956,048,400/45,516 - Step 6: Final answer
x = 218,737.33
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.