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Finding the Third Proportional to 133,089.44 and 199,429.13

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Solution

The third proportional to 133,089.44 and 199,429.13 is: 298,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089.44 : 199,429.13 = 199,429.13 : x
  2. Step 2: Convert to fraction form
    133,089.44/199,429.13 = 199,429.13/x
  3. Step 3: Cross multiply
    133,089.44x = 199,429.13 × 199,429.13
  4. Step 4: Simplify right side
    133,089.44x = 39,771,975,898.27
  5. Step 5: Solve for x
    x = 39,771,975,898.27/133,089.44
  6. Step 6: Final answer
    x = 298,836.46

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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.