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Finding the Third Proportional to 103,928 and 229,040

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Solution

The third proportional to 103,928 and 229,040 is: 504,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,928 : 229,040 = 229,040 : x
  2. Step 2: Convert to fraction form
    103,928/229,040 = 229,040/x
  3. Step 3: Cross multiply
    103,928x = 229,040 × 229,040
  4. Step 4: Simplify right side
    103,928x = 52,459,321,600
  5. Step 5: Solve for x
    x = 52,459,321,600/103,928
  6. Step 6: Final answer
    x = 504,766.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.