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Finding the Third Proportional to 101,793 and 221,655

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Solution

The third proportional to 101,793 and 221,655 is: 482,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,793 : 221,655 = 221,655 : x
  2. Step 2: Convert to fraction form
    101,793/221,655 = 221,655/x
  3. Step 3: Cross multiply
    101,793x = 221,655 × 221,655
  4. Step 4: Simplify right side
    101,793x = 49,130,939,025
  5. Step 5: Solve for x
    x = 49,130,939,025/101,793
  6. Step 6: Final answer
    x = 482,655.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.