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Finding the Third Proportional to 44,415 and 93,821

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Solution

The third proportional to 44,415 and 93,821 is: 198,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,415 : 93,821 = 93,821 : x
  2. Step 2: Convert to fraction form
    44,415/93,821 = 93,821/x
  3. Step 3: Cross multiply
    44,415x = 93,821 × 93,821
  4. Step 4: Simplify right side
    44,415x = 8,802,380,041
  5. Step 5: Solve for x
    x = 8,802,380,041/44,415
  6. Step 6: Final answer
    x = 198,184.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.