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Finding the Third Proportional to 105,399.56 and 155,307.38

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Solution

The third proportional to 105,399.56 and 155,307.38 is: 228,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,399.56 : 155,307.38 = 155,307.38 : x
  2. Step 2: Convert to fraction form
    105,399.56/155,307.38 = 155,307.38/x
  3. Step 3: Cross multiply
    105,399.56x = 155,307.38 × 155,307.38
  4. Step 4: Simplify right side
    105,399.56x = 24,120,380,729.39
  5. Step 5: Solve for x
    x = 24,120,380,729.39/105,399.56
  6. Step 6: Final answer
    x = 228,847.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.