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Finding the Third Proportional to 133,019.72 and 202,286.11

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Solution

The third proportional to 133,019.72 and 202,286.11 is: 307,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,019.72 : 202,286.11 = 202,286.11 : x
  2. Step 2: Convert to fraction form
    133,019.72/202,286.11 = 202,286.11/x
  3. Step 3: Cross multiply
    133,019.72x = 202,286.11 × 202,286.11
  4. Step 4: Simplify right side
    133,019.72x = 40,919,670,046.07
  5. Step 5: Solve for x
    x = 40,919,670,046.07/133,019.72
  6. Step 6: Final answer
    x = 307,621.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.