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Finding the Third Proportional to 133,819.59 and 197,033.13

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Solution

The third proportional to 133,819.59 and 197,033.13 is: 290,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.59 : 197,033.13 = 197,033.13 : x
  2. Step 2: Convert to fraction form
    133,819.59/197,033.13 = 197,033.13/x
  3. Step 3: Cross multiply
    133,819.59x = 197,033.13 × 197,033.13
  4. Step 4: Simplify right side
    133,819.59x = 38,822,055,425.91
  5. Step 5: Solve for x
    x = 38,822,055,425.91/133,819.59
  6. Step 6: Final answer
    x = 290,107.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.