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Finding the Third Proportional to 101,745.56 and 221,000.63

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Solution

The third proportional to 101,745.56 and 221,000.63 is: 480,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,745.56 : 221,000.63 = 221,000.63 : x
  2. Step 2: Convert to fraction form
    101,745.56/221,000.63 = 221,000.63/x
  3. Step 3: Cross multiply
    101,745.56x = 221,000.63 × 221,000.63
  4. Step 4: Simplify right side
    101,745.56x = 48,841,276,250.39
  5. Step 5: Solve for x
    x = 48,841,276,250.39/101,745.56
  6. Step 6: Final answer
    x = 480,033.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.