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Finding the Third Proportional to 107,796 and 226,765.50

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Solution

The third proportional to 107,796 and 226,765.50 is: 477,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,796 : 226,765.50 = 226,765.50 : x
  2. Step 2: Convert to fraction form
    107,796/226,765.50 = 226,765.50/x
  3. Step 3: Cross multiply
    107,796x = 226,765.50 × 226,765.50
  4. Step 4: Simplify right side
    107,796x = 51,422,591,990.25
  5. Step 5: Solve for x
    x = 51,422,591,990.25/107,796
  6. Step 6: Final answer
    x = 477,036.18

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.