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Finding the Third Proportional to 100,908 and 214,114

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Solution

The third proportional to 100,908 and 214,114 is: 454,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,908 : 214,114 = 214,114 : x
  2. Step 2: Convert to fraction form
    100,908/214,114 = 214,114/x
  3. Step 3: Cross multiply
    100,908x = 214,114 × 214,114
  4. Step 4: Simplify right side
    100,908x = 45,844,804,996
  5. Step 5: Solve for x
    x = 45,844,804,996/100,908
  6. Step 6: Final answer
    x = 454,322.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.