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Finding the Third Proportional to 105,600.38 and 219,937.78

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Solution

The third proportional to 105,600.38 and 219,937.78 is: 458,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,600.38 : 219,937.78 = 219,937.78 : x
  2. Step 2: Convert to fraction form
    105,600.38/219,937.78 = 219,937.78/x
  3. Step 3: Cross multiply
    105,600.38x = 219,937.78 × 219,937.78
  4. Step 4: Simplify right side
    105,600.38x = 48,372,627,621.17
  5. Step 5: Solve for x
    x = 48,372,627,621.17/105,600.38
  6. Step 6: Final answer
    x = 458,072.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.