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Finding the Third Proportional to 49,231 and 108,303

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Solution

The third proportional to 49,231 and 108,303 is: 238,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,231 : 108,303 = 108,303 : x
  2. Step 2: Convert to fraction form
    49,231/108,303 = 108,303/x
  3. Step 3: Cross multiply
    49,231x = 108,303 × 108,303
  4. Step 4: Simplify right side
    49,231x = 11,729,539,809
  5. Step 5: Solve for x
    x = 11,729,539,809/49,231
  6. Step 6: Final answer
    x = 238,255.16

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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.