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Finding the Third Proportional to 107,647.03 and 231,746.06

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Solution

The third proportional to 107,647.03 and 231,746.06 is: 498,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,647.03 : 231,746.06 = 231,746.06 : x
  2. Step 2: Convert to fraction form
    107,647.03/231,746.06 = 231,746.06/x
  3. Step 3: Cross multiply
    107,647.03x = 231,746.06 × 231,746.06
  4. Step 4: Simplify right side
    107,647.03x = 53,706,237,484.25
  5. Step 5: Solve for x
    x = 53,706,237,484.25/107,647.03
  6. Step 6: Final answer
    x = 498,910.53

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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.