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Finding the Third Proportional to 89,872.03 and 208,072.55

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Solution

The third proportional to 89,872.03 and 208,072.55 is: 481,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,872.03 : 208,072.55 = 208,072.55 : x
  2. Step 2: Convert to fraction form
    89,872.03/208,072.55 = 208,072.55/x
  3. Step 3: Cross multiply
    89,872.03x = 208,072.55 × 208,072.55
  4. Step 4: Simplify right side
    89,872.03x = 43,294,184,763.05
  5. Step 5: Solve for x
    x = 43,294,184,763.05/89,872.03
  6. Step 6: Final answer
    x = 481,731.46

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.