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Finding the Third Proportional to 133,660.13 and 194,470.88

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Solution

The third proportional to 133,660.13 and 194,470.88 is: 282,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,660.13 : 194,470.88 = 194,470.88 : x
  2. Step 2: Convert to fraction form
    133,660.13/194,470.88 = 194,470.88/x
  3. Step 3: Cross multiply
    133,660.13x = 194,470.88 × 194,470.88
  4. Step 4: Simplify right side
    133,660.13x = 37,818,921,223.27
  5. Step 5: Solve for x
    x = 37,818,921,223.27/133,660.13
  6. Step 6: Final answer
    x = 282,948.42

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.