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Finding the Third Proportional to 106,997.06 and 225,931.50

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Solution

The third proportional to 106,997.06 and 225,931.50 is: 477,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.06 : 225,931.50 = 225,931.50 : x
  2. Step 2: Convert to fraction form
    106,997.06/225,931.50 = 225,931.50/x
  3. Step 3: Cross multiply
    106,997.06x = 225,931.50 × 225,931.50
  4. Step 4: Simplify right side
    106,997.06x = 51,045,042,692.25
  5. Step 5: Solve for x
    x = 51,045,042,692.25/106,997.06
  6. Step 6: Final answer
    x = 477,069.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.