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Finding the Third Proportional to 107,634.38 and 234,644.63

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Solution

The third proportional to 107,634.38 and 234,644.63 is: 511,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,634.38 : 234,644.63 = 234,644.63 : x
  2. Step 2: Convert to fraction form
    107,634.38/234,644.63 = 234,644.63/x
  3. Step 3: Cross multiply
    107,634.38x = 234,644.63 × 234,644.63
  4. Step 4: Simplify right side
    107,634.38x = 55,058,100,041.39
  5. Step 5: Solve for x
    x = 55,058,100,041.39/107,634.38
  6. Step 6: Final answer
    x = 511,528.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.