Finding the Third Proportional to 45,744 and 99,864
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Solution
The third proportional to 45,744 and 99,864 is: 218,013.70
Step by Step Solution
- Step 1: Write the proportion equation
45,744 : 99,864 = 99,864 : x - Step 2: Convert to fraction form
45,744/99,864 = 99,864/x - Step 3: Cross multiply
45,744x = 99,864 × 99,864 - Step 4: Simplify right side
45,744x = 9,972,818,496 - Step 5: Solve for x
x = 9,972,818,496/45,744 - Step 6: Final answer
x = 218,013.70
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.