Finding the Third Proportional to 45,747 and 99,231
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Solution
The third proportional to 45,747 and 99,231 is: 215,244.53
Step by Step Solution
- Step 1: Write the proportion equation
45,747 : 99,231 = 99,231 : x - Step 2: Convert to fraction form
45,747/99,231 = 99,231/x - Step 3: Cross multiply
45,747x = 99,231 × 99,231 - Step 4: Simplify right side
45,747x = 9,846,791,361 - Step 5: Solve for x
x = 9,846,791,361/45,747 - Step 6: Final answer
x = 215,244.53
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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.