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Finding the Third Proportional to 147,627.56 and 221,401.69

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Solution

The third proportional to 147,627.56 and 221,401.69 is: 332,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,627.56 : 221,401.69 = 221,401.69 : x
  2. Step 2: Convert to fraction form
    147,627.56/221,401.69 = 221,401.69/x
  3. Step 3: Cross multiply
    147,627.56x = 221,401.69 × 221,401.69
  4. Step 4: Simplify right side
    147,627.56x = 49,018,707,227.85
  5. Step 5: Solve for x
    x = 49,018,707,227.85/147,627.56
  6. Step 6: Final answer
    x = 332,043.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.