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Finding the Third Proportional to 105,168.38 and 228,082.50

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Solution

The third proportional to 105,168.38 and 228,082.50 is: 494,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,168.38 : 228,082.50 = 228,082.50 : x
  2. Step 2: Convert to fraction form
    105,168.38/228,082.50 = 228,082.50/x
  3. Step 3: Cross multiply
    105,168.38x = 228,082.50 × 228,082.50
  4. Step 4: Simplify right side
    105,168.38x = 52,021,626,806.25
  5. Step 5: Solve for x
    x = 52,021,626,806.25/105,168.38
  6. Step 6: Final answer
    x = 494,650.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.