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Finding the Third Proportional to 111,950 and 236,534.50

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Solution

The third proportional to 111,950 and 236,534.50 is: 499,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,950 : 236,534.50 = 236,534.50 : x
  2. Step 2: Convert to fraction form
    111,950/236,534.50 = 236,534.50/x
  3. Step 3: Cross multiply
    111,950x = 236,534.50 × 236,534.50
  4. Step 4: Simplify right side
    111,950x = 55,948,569,690.25
  5. Step 5: Solve for x
    x = 55,948,569,690.25/111,950
  6. Step 6: Final answer
    x = 499,763.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.