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Finding the Third Proportional to 133,098 and 200,188

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Solution

The third proportional to 133,098 and 200,188 is: 301,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098 : 200,188 = 200,188 : x
  2. Step 2: Convert to fraction form
    133,098/200,188 = 200,188/x
  3. Step 3: Cross multiply
    133,098x = 200,188 × 200,188
  4. Step 4: Simplify right side
    133,098x = 40,075,235,344
  5. Step 5: Solve for x
    x = 40,075,235,344/133,098
  6. Step 6: Final answer
    x = 301,095.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.