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Finding the Third Proportional to 49,446 and 106,848

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Solution

The third proportional to 49,446 and 106,848 is: 230,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,446 : 106,848 = 106,848 : x
  2. Step 2: Convert to fraction form
    49,446/106,848 = 106,848/x
  3. Step 3: Cross multiply
    49,446x = 106,848 × 106,848
  4. Step 4: Simplify right side
    49,446x = 11,416,495,104
  5. Step 5: Solve for x
    x = 11,416,495,104/49,446
  6. Step 6: Final answer
    x = 230,888.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.