Finding the Third Proportional to 99,820.50 and 146,811
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Solution
The third proportional to 99,820.50 and 146,811 is: 215,922.28
Step by Step Solution
- Step 1: Write the proportion equation
99,820.50 : 146,811 = 146,811 : x - Step 2: Convert to fraction form
99,820.50/146,811 = 146,811/x - Step 3: Cross multiply
99,820.50x = 146,811 × 146,811 - Step 4: Simplify right side
99,820.50x = 21,553,469,721 - Step 5: Solve for x
x = 21,553,469,721/99,820.50 - Step 6: Final answer
x = 215,922.28
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.