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Finding the Third Proportional to 203,783.63 and 446,932.13

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Solution

The third proportional to 203,783.63 and 446,932.13 is: 980,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,783.63 : 446,932.13 = 446,932.13 : x
  2. Step 2: Convert to fraction form
    203,783.63/446,932.13 = 446,932.13/x
  3. Step 3: Cross multiply
    203,783.63x = 446,932.13 × 446,932.13
  4. Step 4: Simplify right side
    203,783.63x = 199,748,324,357.02
  5. Step 5: Solve for x
    x = 199,748,324,357.02/203,783.63
  6. Step 6: Final answer
    x = 980,198.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.