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Finding the Third Proportional to 128,266.03 and 199,503.84

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Solution

The third proportional to 128,266.03 and 199,503.84 is: 310,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,266.03 : 199,503.84 = 199,503.84 : x
  2. Step 2: Convert to fraction form
    128,266.03/199,503.84 = 199,503.84/x
  3. Step 3: Cross multiply
    128,266.03x = 199,503.84 × 199,503.84
  4. Step 4: Simplify right side
    128,266.03x = 39,801,783,671.02
  5. Step 5: Solve for x
    x = 39,801,783,671.02/128,266.03
  6. Step 6: Final answer
    x = 310,306.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.