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Finding the Third Proportional to 189,610.03 and 407,101.78

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Solution

The third proportional to 189,610.03 and 407,101.78 is: 874,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,610.03 : 407,101.78 = 407,101.78 : x
  2. Step 2: Convert to fraction form
    189,610.03/407,101.78 = 407,101.78/x
  3. Step 3: Cross multiply
    189,610.03x = 407,101.78 × 407,101.78
  4. Step 4: Simplify right side
    189,610.03x = 165,731,860,296.92
  5. Step 5: Solve for x
    x = 165,731,860,296.92/189,610.03
  6. Step 6: Final answer
    x = 874,066.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.