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Finding the Third Proportional to 188,446.50 and 211,956.75

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Solution

The third proportional to 188,446.50 and 211,956.75 is: 238,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,446.50 : 211,956.75 = 211,956.75 : x
  2. Step 2: Convert to fraction form
    188,446.50/211,956.75 = 211,956.75/x
  3. Step 3: Cross multiply
    188,446.50x = 211,956.75 × 211,956.75
  4. Step 4: Simplify right side
    188,446.50x = 44,925,663,870.56
  5. Step 5: Solve for x
    x = 44,925,663,870.56/188,446.50
  6. Step 6: Final answer
    x = 238,400.10

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.