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Finding the Third Proportional to 107,055 and 233,178.75

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Solution

The third proportional to 107,055 and 233,178.75 is: 507,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,055 : 233,178.75 = 233,178.75 : x
  2. Step 2: Convert to fraction form
    107,055/233,178.75 = 233,178.75/x
  3. Step 3: Cross multiply
    107,055x = 233,178.75 × 233,178.75
  4. Step 4: Simplify right side
    107,055x = 54,372,329,451.56
  5. Step 5: Solve for x
    x = 54,372,329,451.56/107,055
  6. Step 6: Final answer
    x = 507,891.55

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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.