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Finding the Third Proportional to 190,404 and 451,099.50

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Solution

The third proportional to 190,404 and 451,099.50 is: 1,068,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,404 : 451,099.50 = 451,099.50 : x
  2. Step 2: Convert to fraction form
    190,404/451,099.50 = 451,099.50/x
  3. Step 3: Cross multiply
    190,404x = 451,099.50 × 451,099.50
  4. Step 4: Simplify right side
    190,404x = 203,490,758,900.25
  5. Step 5: Solve for x
    x = 203,490,758,900.25/190,404
  6. Step 6: Final answer
    x = 1,068,731.53

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.