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Finding the Third Proportional to 100,014 and 213,420

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Solution

The third proportional to 100,014 and 213,420 is: 455,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014 : 213,420 = 213,420 : x
  2. Step 2: Convert to fraction form
    100,014/213,420 = 213,420/x
  3. Step 3: Cross multiply
    100,014x = 213,420 × 213,420
  4. Step 4: Simplify right side
    100,014x = 45,548,096,400
  5. Step 5: Solve for x
    x = 45,548,096,400/100,014
  6. Step 6: Final answer
    x = 455,417.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.