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Finding the Third Proportional to 133,819.13 and 207,452.06

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Solution

The third proportional to 133,819.13 and 207,452.06 is: 321,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.13 : 207,452.06 = 207,452.06 : x
  2. Step 2: Convert to fraction form
    133,819.13/207,452.06 = 207,452.06/x
  3. Step 3: Cross multiply
    133,819.13x = 207,452.06 × 207,452.06
  4. Step 4: Simplify right side
    133,819.13x = 43,036,358,235.50
  5. Step 5: Solve for x
    x = 43,036,358,235.50/133,819.13
  6. Step 6: Final answer
    x = 321,600.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.