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Finding the Third Proportional to 107,709.38 and 230,079.75

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Solution

The third proportional to 107,709.38 and 230,079.75 is: 491,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,709.38 : 230,079.75 = 230,079.75 : x
  2. Step 2: Convert to fraction form
    107,709.38/230,079.75 = 230,079.75/x
  3. Step 3: Cross multiply
    107,709.38x = 230,079.75 × 230,079.75
  4. Step 4: Simplify right side
    107,709.38x = 52,936,691,360.06
  5. Step 5: Solve for x
    x = 52,936,691,360.06/107,709.38
  6. Step 6: Final answer
    x = 491,477.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.