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Finding the Third Proportional to 101,948 and 220,299

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Solution

The third proportional to 101,948 and 220,299 is: 476,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,948 : 220,299 = 220,299 : x
  2. Step 2: Convert to fraction form
    101,948/220,299 = 220,299/x
  3. Step 3: Cross multiply
    101,948x = 220,299 × 220,299
  4. Step 4: Simplify right side
    101,948x = 48,531,649,401
  5. Step 5: Solve for x
    x = 48,531,649,401/101,948
  6. Step 6: Final answer
    x = 476,043.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.