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Finding the Third Proportional to 133,373.81 and 200,062.69

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Solution

The third proportional to 133,373.81 and 200,062.69 is: 300,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,373.81 : 200,062.69 = 200,062.69 : x
  2. Step 2: Convert to fraction form
    133,373.81/200,062.69 = 200,062.69/x
  3. Step 3: Cross multiply
    133,373.81x = 200,062.69 × 200,062.69
  4. Step 4: Simplify right side
    133,373.81x = 40,025,078,929.72
  5. Step 5: Solve for x
    x = 40,025,078,929.72/133,373.81
  6. Step 6: Final answer
    x = 300,096.98

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