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Finding the Third Proportional to 44,519 and 97,787

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Solution

The third proportional to 44,519 and 97,787 is: 214,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,519 : 97,787 = 97,787 : x
  2. Step 2: Convert to fraction form
    44,519/97,787 = 97,787/x
  3. Step 3: Cross multiply
    44,519x = 97,787 × 97,787
  4. Step 4: Simplify right side
    44,519x = 9,562,297,369
  5. Step 5: Solve for x
    x = 9,562,297,369/44,519
  6. Step 6: Final answer
    x = 214,791.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.