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Finding the Third Proportional to 133,855.88 and 197,081.44

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Solution

The third proportional to 133,855.88 and 197,081.44 is: 290,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,855.88 : 197,081.44 = 197,081.44 : x
  2. Step 2: Convert to fraction form
    133,855.88/197,081.44 = 197,081.44/x
  3. Step 3: Cross multiply
    133,855.88x = 197,081.44 × 197,081.44
  4. Step 4: Simplify right side
    133,855.88x = 38,841,093,007.07
  5. Step 5: Solve for x
    x = 38,841,093,007.07/133,855.88
  6. Step 6: Final answer
    x = 290,171.00

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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.