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Finding the Third Proportional to 189,606.66 and 407,097.56

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Solution

The third proportional to 189,606.66 and 407,097.56 is: 874,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,606.66 : 407,097.56 = 407,097.56 : x
  2. Step 2: Convert to fraction form
    189,606.66/407,097.56 = 407,097.56/x
  3. Step 3: Cross multiply
    189,606.66x = 407,097.56 × 407,097.56
  4. Step 4: Simplify right side
    189,606.66x = 165,728,425,393.44
  5. Step 5: Solve for x
    x = 165,728,425,393.44/189,606.66
  6. Step 6: Final answer
    x = 874,064.39

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