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Finding the Third Proportional to 193,194.56 and 419,655.94

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Solution

The third proportional to 193,194.56 and 419,655.94 is: 911,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,194.56 : 419,655.94 = 419,655.94 : x
  2. Step 2: Convert to fraction form
    193,194.56/419,655.94 = 419,655.94/x
  3. Step 3: Cross multiply
    193,194.56x = 419,655.94 × 419,655.94
  4. Step 4: Simplify right side
    193,194.56x = 176,111,105,879.00
  5. Step 5: Solve for x
    x = 176,111,105,879.00/193,194.56
  6. Step 6: Final answer
    x = 911,573.82

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Why These Related Problems?

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