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Finding the Third Proportional to 49,320 and 108,468

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Solution

The third proportional to 49,320 and 108,468 is: 238,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,320 : 108,468 = 108,468 : x
  2. Step 2: Convert to fraction form
    49,320/108,468 = 108,468/x
  3. Step 3: Cross multiply
    49,320x = 108,468 × 108,468
  4. Step 4: Simplify right side
    49,320x = 11,765,307,024
  5. Step 5: Solve for x
    x = 11,765,307,024/49,320
  6. Step 6: Final answer
    x = 238,550.43

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