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Finding the Third Proportional to 99,924 and 214,671

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Solution

The third proportional to 99,924 and 214,671 is: 461,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924 : 214,671 = 214,671 : x
  2. Step 2: Convert to fraction form
    99,924/214,671 = 214,671/x
  3. Step 3: Cross multiply
    99,924x = 214,671 × 214,671
  4. Step 4: Simplify right side
    99,924x = 46,083,638,241
  5. Step 5: Solve for x
    x = 46,083,638,241/99,924
  6. Step 6: Final answer
    x = 461,186.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.