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Finding the Third Proportional to 100,014 and 213,852

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Solution

The third proportional to 100,014 and 213,852 is: 457,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014 : 213,852 = 213,852 : x
  2. Step 2: Convert to fraction form
    100,014/213,852 = 213,852/x
  3. Step 3: Cross multiply
    100,014x = 213,852 × 213,852
  4. Step 4: Simplify right side
    100,014x = 45,732,677,904
  5. Step 5: Solve for x
    x = 45,732,677,904/100,014
  6. Step 6: Final answer
    x = 457,262.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.