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Finding the Third Proportional to 131,697 and 188,202.38

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Solution

The third proportional to 131,697 and 188,202.38 is: 268,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,697 : 188,202.38 = 188,202.38 : x
  2. Step 2: Convert to fraction form
    131,697/188,202.38 = 188,202.38/x
  3. Step 3: Cross multiply
    131,697x = 188,202.38 × 188,202.38
  4. Step 4: Simplify right side
    131,697x = 35,420,133,955.64
  5. Step 5: Solve for x
    x = 35,420,133,955.64/131,697
  6. Step 6: Final answer
    x = 268,951.71

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.