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Finding the Third Proportional to 100,898 and 214,097

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Solution

The third proportional to 100,898 and 214,097 is: 454,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,898 : 214,097 = 214,097 : x
  2. Step 2: Convert to fraction form
    100,898/214,097 = 214,097/x
  3. Step 3: Cross multiply
    100,898x = 214,097 × 214,097
  4. Step 4: Simplify right side
    100,898x = 45,837,525,409
  5. Step 5: Solve for x
    x = 45,837,525,409/100,898
  6. Step 6: Final answer
    x = 454,295.68

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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.