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Finding the Third Proportional to 108,444 and 230,009

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Solution

The third proportional to 108,444 and 230,009 is: 487,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,444 : 230,009 = 230,009 : x
  2. Step 2: Convert to fraction form
    108,444/230,009 = 230,009/x
  3. Step 3: Cross multiply
    108,444x = 230,009 × 230,009
  4. Step 4: Simplify right side
    108,444x = 52,904,140,081
  5. Step 5: Solve for x
    x = 52,904,140,081/108,444
  6. Step 6: Final answer
    x = 487,847.55

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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.