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Finding the Third Proportional to 111,123 and 216,652.50

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Solution

The third proportional to 111,123 and 216,652.50 is: 422,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,123 : 216,652.50 = 216,652.50 : x
  2. Step 2: Convert to fraction form
    111,123/216,652.50 = 216,652.50/x
  3. Step 3: Cross multiply
    111,123x = 216,652.50 × 216,652.50
  4. Step 4: Simplify right side
    111,123x = 46,938,305,756.25
  5. Step 5: Solve for x
    x = 46,938,305,756.25/111,123
  6. Step 6: Final answer
    x = 422,399.56

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.