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Finding the Third Proportional to 106,977 and 229,749

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Solution

The third proportional to 106,977 and 229,749 is: 493,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,977 : 229,749 = 229,749 : x
  2. Step 2: Convert to fraction form
    106,977/229,749 = 229,749/x
  3. Step 3: Cross multiply
    106,977x = 229,749 × 229,749
  4. Step 4: Simplify right side
    106,977x = 52,784,603,001
  5. Step 5: Solve for x
    x = 52,784,603,001/106,977
  6. Step 6: Final answer
    x = 493,420.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.