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Finding the Third Proportional to 107,209.88 and 228,285.75

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Solution

The third proportional to 107,209.88 and 228,285.75 is: 486,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,209.88 : 228,285.75 = 228,285.75 : x
  2. Step 2: Convert to fraction form
    107,209.88/228,285.75 = 228,285.75/x
  3. Step 3: Cross multiply
    107,209.88x = 228,285.75 × 228,285.75
  4. Step 4: Simplify right side
    107,209.88x = 52,114,383,653.06
  5. Step 5: Solve for x
    x = 52,114,383,653.06/107,209.88
  6. Step 6: Final answer
    x = 486,096.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.