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Finding the Third Proportional to 44,228 and 89,519

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Solution

The third proportional to 44,228 and 89,519 is: 181,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,228 : 89,519 = 89,519 : x
  2. Step 2: Convert to fraction form
    44,228/89,519 = 89,519/x
  3. Step 3: Cross multiply
    44,228x = 89,519 × 89,519
  4. Step 4: Simplify right side
    44,228x = 8,013,651,361
  5. Step 5: Solve for x
    x = 8,013,651,361/44,228
  6. Step 6: Final answer
    x = 181,189.55

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.