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Finding the Third Proportional to 193,149.56 and 419,554.69

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Solution

The third proportional to 193,149.56 and 419,554.69 is: 911,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,149.56 : 419,554.69 = 419,554.69 : x
  2. Step 2: Convert to fraction form
    193,149.56/419,554.69 = 419,554.69/x
  3. Step 3: Cross multiply
    193,149.56x = 419,554.69 × 419,554.69
  4. Step 4: Simplify right side
    193,149.56x = 176,026,135,803.22
  5. Step 5: Solve for x
    x = 176,026,135,803.22/193,149.56
  6. Step 6: Final answer
    x = 911,346.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.