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Finding the Third Proportional to 106,129.50 and 230,997

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Solution

The third proportional to 106,129.50 and 230,997 is: 502,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,129.50 : 230,997 = 230,997 : x
  2. Step 2: Convert to fraction form
    106,129.50/230,997 = 230,997/x
  3. Step 3: Cross multiply
    106,129.50x = 230,997 × 230,997
  4. Step 4: Simplify right side
    106,129.50x = 53,359,614,009
  5. Step 5: Solve for x
    x = 53,359,614,009/106,129.50
  6. Step 6: Final answer
    x = 502,778.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.