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Finding the Third Proportional to 107,368.03 and 231,229.69

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Solution

The third proportional to 107,368.03 and 231,229.69 is: 497,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,368.03 : 231,229.69 = 231,229.69 : x
  2. Step 2: Convert to fraction form
    107,368.03/231,229.69 = 231,229.69/x
  3. Step 3: Cross multiply
    107,368.03x = 231,229.69 × 231,229.69
  4. Step 4: Simplify right side
    107,368.03x = 53,467,168,381.35
  5. Step 5: Solve for x
    x = 53,467,168,381.35/107,368.03
  6. Step 6: Final answer
    x = 497,980.34

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