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Finding the Third Proportional to 49,416.50 and 108,674

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Solution

The third proportional to 49,416.50 and 108,674 is: 238,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416.50 : 108,674 = 108,674 : x
  2. Step 2: Convert to fraction form
    49,416.50/108,674 = 108,674/x
  3. Step 3: Cross multiply
    49,416.50x = 108,674 × 108,674
  4. Step 4: Simplify right side
    49,416.50x = 11,810,038,276
  5. Step 5: Solve for x
    x = 11,810,038,276/49,416.50
  6. Step 6: Final answer
    x = 238,989.78

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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.