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Finding the Third Proportional to 199,783.97 and 299,903.77

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Solution

The third proportional to 199,783.97 and 299,903.77 is: 450,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,783.97 : 299,903.77 = 299,903.77 : x
  2. Step 2: Convert to fraction form
    199,783.97/299,903.77 = 299,903.77/x
  3. Step 3: Cross multiply
    199,783.97x = 299,903.77 × 299,903.77
  4. Step 4: Simplify right side
    199,783.97x = 89,942,268,636.05
  5. Step 5: Solve for x
    x = 89,942,268,636.05/199,783.97
  6. Step 6: Final answer
    x = 450,197.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.