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Finding the Third Proportional to 106,750.50 and 231,030

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Solution

The third proportional to 106,750.50 and 231,030 is: 499,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750.50 : 231,030 = 231,030 : x
  2. Step 2: Convert to fraction form
    106,750.50/231,030 = 231,030/x
  3. Step 3: Cross multiply
    106,750.50x = 231,030 × 231,030
  4. Step 4: Simplify right side
    106,750.50x = 53,374,860,900
  5. Step 5: Solve for x
    x = 53,374,860,900/106,750.50
  6. Step 6: Final answer
    x = 499,996.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.