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Finding the Third Proportional to 103,226.06 and 150,855.75

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Solution

The third proportional to 103,226.06 and 150,855.75 is: 220,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,226.06 : 150,855.75 = 150,855.75 : x
  2. Step 2: Convert to fraction form
    103,226.06/150,855.75 = 150,855.75/x
  3. Step 3: Cross multiply
    103,226.06x = 150,855.75 × 150,855.75
  4. Step 4: Simplify right side
    103,226.06x = 22,757,457,308.06
  5. Step 5: Solve for x
    x = 22,757,457,308.06/103,226.06
  6. Step 6: Final answer
    x = 220,462.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.