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Finding the Third Proportional to 107,212.78 and 233,100.49

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Solution

The third proportional to 107,212.78 and 233,100.49 is: 506,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,212.78 : 233,100.49 = 233,100.49 : x
  2. Step 2: Convert to fraction form
    107,212.78/233,100.49 = 233,100.49/x
  3. Step 3: Cross multiply
    107,212.78x = 233,100.49 × 233,100.49
  4. Step 4: Simplify right side
    107,212.78x = 54,335,839,458.05
  5. Step 5: Solve for x
    x = 54,335,839,458.05/107,212.78
  6. Step 6: Final answer
    x = 506,803.75

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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.