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Finding the Third Proportional to 203,431.13 and 445,615.50

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Solution

The third proportional to 203,431.13 and 445,615.50 is: 976,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,431.13 : 445,615.50 = 445,615.50 : x
  2. Step 2: Convert to fraction form
    203,431.13/445,615.50 = 445,615.50/x
  3. Step 3: Cross multiply
    203,431.13x = 445,615.50 × 445,615.50
  4. Step 4: Simplify right side
    203,431.13x = 198,573,173,840.25
  5. Step 5: Solve for x
    x = 198,573,173,840.25/203,431.13
  6. Step 6: Final answer
    x = 976,119.92

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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.