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Finding the Third Proportional to 104,370.75 and 227,371.50

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Solution

The third proportional to 104,370.75 and 227,371.50 is: 495,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,370.75 : 227,371.50 = 227,371.50 : x
  2. Step 2: Convert to fraction form
    104,370.75/227,371.50 = 227,371.50/x
  3. Step 3: Cross multiply
    104,370.75x = 227,371.50 × 227,371.50
  4. Step 4: Simplify right side
    104,370.75x = 51,697,799,012.25
  5. Step 5: Solve for x
    x = 51,697,799,012.25/104,370.75
  6. Step 6: Final answer
    x = 495,328.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.