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Finding the Third Proportional to 212,797,179 and 458,421,228

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Solution

The third proportional to 212,797,179 and 458,421,228 is: 987,560,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,797,179 : 458,421,228 = 458,421,228 : x
  2. Step 2: Convert to fraction form
    212,797,179/458,421,228 = 458,421,228/x
  3. Step 3: Cross multiply
    212,797,179x = 458,421,228 × 458,421,228
  4. Step 4: Simplify right side
    212,797,179x = 210,150,022,281,027,968
  5. Step 5: Solve for x
    x = 210,150,022,281,027,968/212,797,179
  6. Step 6: Final answer
    x = 987,560,188.85

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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.