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Finding the Third Proportional to 44,409 and 96,651

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Solution

The third proportional to 44,409 and 96,651 is: 210,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,409 : 96,651 = 96,651 : x
  2. Step 2: Convert to fraction form
    44,409/96,651 = 96,651/x
  3. Step 3: Cross multiply
    44,409x = 96,651 × 96,651
  4. Step 4: Simplify right side
    44,409x = 9,341,415,801
  5. Step 5: Solve for x
    x = 9,341,415,801/44,409
  6. Step 6: Final answer
    x = 210,349.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.