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Finding the Third Proportional to 107,281.97 and 228,809.81

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Solution

The third proportional to 107,281.97 and 228,809.81 is: 488,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,281.97 : 228,809.81 = 228,809.81 : x
  2. Step 2: Convert to fraction form
    107,281.97/228,809.81 = 228,809.81/x
  3. Step 3: Cross multiply
    107,281.97x = 228,809.81 × 228,809.81
  4. Step 4: Simplify right side
    107,281.97x = 52,353,930,296.29
  5. Step 5: Solve for x
    x = 52,353,930,296.29/107,281.97
  6. Step 6: Final answer
    x = 488,003.07

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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.