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Finding the Third Proportional to 133,191 and 197,761.50

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Solution

The third proportional to 133,191 and 197,761.50 is: 293,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,191 : 197,761.50 = 197,761.50 : x
  2. Step 2: Convert to fraction form
    133,191/197,761.50 = 197,761.50/x
  3. Step 3: Cross multiply
    133,191x = 197,761.50 × 197,761.50
  4. Step 4: Simplify right side
    133,191x = 39,109,610,882.25
  5. Step 5: Solve for x
    x = 39,109,610,882.25/133,191
  6. Step 6: Final answer
    x = 293,635.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.