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Finding the Third Proportional to 106,798.50 and 227,401.50

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Solution

The third proportional to 106,798.50 and 227,401.50 is: 484,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,798.50 : 227,401.50 = 227,401.50 : x
  2. Step 2: Convert to fraction form
    106,798.50/227,401.50 = 227,401.50/x
  3. Step 3: Cross multiply
    106,798.50x = 227,401.50 × 227,401.50
  4. Step 4: Simplify right side
    106,798.50x = 51,711,442,202.25
  5. Step 5: Solve for x
    x = 51,711,442,202.25/106,798.50
  6. Step 6: Final answer
    x = 484,196.33

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.