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Finding the Third Proportional to 212,211.14 and 456,023.67

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Solution

The third proportional to 212,211.14 and 456,023.67 is: 979,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,211.14 : 456,023.67 = 456,023.67 : x
  2. Step 2: Convert to fraction form
    212,211.14/456,023.67 = 456,023.67/x
  3. Step 3: Cross multiply
    212,211.14x = 456,023.67 × 456,023.67
  4. Step 4: Simplify right side
    212,211.14x = 207,957,589,310.36
  5. Step 5: Solve for x
    x = 207,957,589,310.36/212,211.14
  6. Step 6: Final answer
    x = 979,956.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.