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Finding the Third Proportional to 106,043.06 and 228,690.56

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Solution

The third proportional to 106,043.06 and 228,690.56 is: 493,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,043.06 : 228,690.56 = 228,690.56 : x
  2. Step 2: Convert to fraction form
    106,043.06/228,690.56 = 228,690.56/x
  3. Step 3: Cross multiply
    106,043.06x = 228,690.56 × 228,690.56
  4. Step 4: Simplify right side
    106,043.06x = 52,299,373,376.57
  5. Step 5: Solve for x
    x = 52,299,373,376.57/106,043.06
  6. Step 6: Final answer
    x = 493,189.96

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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.