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Finding the Third Proportional to 101,222 and 214,897

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Solution

The third proportional to 101,222 and 214,897 is: 456,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,222 : 214,897 = 214,897 : x
  2. Step 2: Convert to fraction form
    101,222/214,897 = 214,897/x
  3. Step 3: Cross multiply
    101,222x = 214,897 × 214,897
  4. Step 4: Simplify right side
    101,222x = 46,180,720,609
  5. Step 5: Solve for x
    x = 46,180,720,609/101,222
  6. Step 6: Final answer
    x = 456,232.05

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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.