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Finding the Third Proportional to 101,002 and 219,476

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Solution

The third proportional to 101,002 and 219,476 is: 476,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,002 : 219,476 = 219,476 : x
  2. Step 2: Convert to fraction form
    101,002/219,476 = 219,476/x
  3. Step 3: Cross multiply
    101,002x = 219,476 × 219,476
  4. Step 4: Simplify right side
    101,002x = 48,169,714,576
  5. Step 5: Solve for x
    x = 48,169,714,576/101,002
  6. Step 6: Final answer
    x = 476,918.42

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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.