Finding the Third Proportional to 99,868 and 231,238
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Solution
The third proportional to 99,868 and 231,238 is: 535,416.88
Step by Step Solution
- Step 1: Write the proportion equation
99,868 : 231,238 = 231,238 : x - Step 2: Convert to fraction form
99,868/231,238 = 231,238/x - Step 3: Cross multiply
99,868x = 231,238 × 231,238 - Step 4: Simplify right side
99,868x = 53,471,012,644 - Step 5: Solve for x
x = 53,471,012,644/99,868 - Step 6: Final answer
x = 535,416.88
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.