Finding the Third Proportional to 96,894 and 201,078
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Solution
The third proportional to 96,894 and 201,078 is: 417,284.48
Step by Step Solution
- Step 1: Write the proportion equation
96,894 : 201,078 = 201,078 : x - Step 2: Convert to fraction form
96,894/201,078 = 201,078/x - Step 3: Cross multiply
96,894x = 201,078 × 201,078 - Step 4: Simplify right side
96,894x = 40,432,362,084 - Step 5: Solve for x
x = 40,432,362,084/96,894 - Step 6: Final answer
x = 417,284.48
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.