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Finding the Third Proportional to 133,078.50 and 201,000.38

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Solution

The third proportional to 133,078.50 and 201,000.38 is: 303,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078.50 : 201,000.38 = 201,000.38 : x
  2. Step 2: Convert to fraction form
    133,078.50/201,000.38 = 201,000.38/x
  3. Step 3: Cross multiply
    133,078.50x = 201,000.38 × 201,000.38
  4. Step 4: Simplify right side
    133,078.50x = 40,401,150,750.14
  5. Step 5: Solve for x
    x = 40,401,150,750.14/133,078.50
  6. Step 6: Final answer
    x = 303,588.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.