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Finding the Third Proportional to 107,817 and 155,440.50

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Solution

The third proportional to 107,817 and 155,440.50 is: 224,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,817 : 155,440.50 = 155,440.50 : x
  2. Step 2: Convert to fraction form
    107,817/155,440.50 = 155,440.50/x
  3. Step 3: Cross multiply
    107,817x = 155,440.50 × 155,440.50
  4. Step 4: Simplify right side
    107,817x = 24,161,749,040.25
  5. Step 5: Solve for x
    x = 24,161,749,040.25/107,817
  6. Step 6: Final answer
    x = 224,099.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.