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Finding the Third Proportional to 107,109 and 235,231.50

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Solution

The third proportional to 107,109 and 235,231.50 is: 516,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,109 : 235,231.50 = 235,231.50 : x
  2. Step 2: Convert to fraction form
    107,109/235,231.50 = 235,231.50/x
  3. Step 3: Cross multiply
    107,109x = 235,231.50 × 235,231.50
  4. Step 4: Simplify right side
    107,109x = 55,333,858,592.25
  5. Step 5: Solve for x
    x = 55,333,858,592.25/107,109
  6. Step 6: Final answer
    x = 516,612.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.