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Finding the Third Proportional to 102,969.56 and 221,745.94

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Solution

The third proportional to 102,969.56 and 221,745.94 is: 477,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969.56 : 221,745.94 = 221,745.94 : x
  2. Step 2: Convert to fraction form
    102,969.56/221,745.94 = 221,745.94/x
  3. Step 3: Cross multiply
    102,969.56x = 221,745.94 × 221,745.94
  4. Step 4: Simplify right side
    102,969.56x = 49,171,260,797.75
  5. Step 5: Solve for x
    x = 49,171,260,797.75/102,969.56
  6. Step 6: Final answer
    x = 477,532.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.