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Finding the Third Proportional to 41,650.88 and 89,964

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Solution

The third proportional to 41,650.88 and 89,964 is: 194,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,650.88 : 89,964 = 89,964 : x
  2. Step 2: Convert to fraction form
    41,650.88/89,964 = 89,964/x
  3. Step 3: Cross multiply
    41,650.88x = 89,964 × 89,964
  4. Step 4: Simplify right side
    41,650.88x = 8,093,521,296
  5. Step 5: Solve for x
    x = 8,093,521,296/41,650.88
  6. Step 6: Final answer
    x = 194,318.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.