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Finding the Third Proportional to 199,185 and 466,614.50

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Solution

The third proportional to 199,185 and 466,614.50 is: 1,093,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,185 : 466,614.50 = 466,614.50 : x
  2. Step 2: Convert to fraction form
    199,185/466,614.50 = 466,614.50/x
  3. Step 3: Cross multiply
    199,185x = 466,614.50 × 466,614.50
  4. Step 4: Simplify right side
    199,185x = 217,729,091,610.25
  5. Step 5: Solve for x
    x = 217,729,091,610.25/199,185
  6. Step 6: Final answer
    x = 1,093,099.84

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.