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Finding the Third Proportional to 106,100.82 and 230,284.27

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Solution

The third proportional to 106,100.82 and 230,284.27 is: 499,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,100.82 : 230,284.27 = 230,284.27 : x
  2. Step 2: Convert to fraction form
    106,100.82/230,284.27 = 230,284.27/x
  3. Step 3: Cross multiply
    106,100.82x = 230,284.27 × 230,284.27
  4. Step 4: Simplify right side
    106,100.82x = 53,030,842,994.45
  5. Step 5: Solve for x
    x = 53,030,842,994.45/106,100.82
  6. Step 6: Final answer
    x = 499,815.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.