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Finding the Third Proportional to 92,400.75 and 199,548.56

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Solution

The third proportional to 92,400.75 and 199,548.56 is: 430,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,400.75 : 199,548.56 = 199,548.56 : x
  2. Step 2: Convert to fraction form
    92,400.75/199,548.56 = 199,548.56/x
  3. Step 3: Cross multiply
    92,400.75x = 199,548.56 × 199,548.56
  4. Step 4: Simplify right side
    92,400.75x = 39,819,628,795.82
  5. Step 5: Solve for x
    x = 39,819,628,795.82/92,400.75
  6. Step 6: Final answer
    x = 430,944.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.