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Finding the Third Proportional to 105,938.72 and 228,682.41

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Solution

The third proportional to 105,938.72 and 228,682.41 is: 493,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,938.72 : 228,682.41 = 228,682.41 : x
  2. Step 2: Convert to fraction form
    105,938.72/228,682.41 = 228,682.41/x
  3. Step 3: Cross multiply
    105,938.72x = 228,682.41 × 228,682.41
  4. Step 4: Simplify right side
    105,938.72x = 52,295,642,928.29
  5. Step 5: Solve for x
    x = 52,295,642,928.29/105,938.72
  6. Step 6: Final answer
    x = 493,640.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.