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Finding the Third Proportional to 76,045,224 and 164,211,600

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Solution

The third proportional to 76,045,224 and 164,211,600 is: 354,597,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,045,224 : 164,211,600 = 164,211,600 : x
  2. Step 2: Convert to fraction form
    76,045,224/164,211,600 = 164,211,600/x
  3. Step 3: Cross multiply
    76,045,224x = 164,211,600 × 164,211,600
  4. Step 4: Simplify right side
    76,045,224x = 26,965,449,574,560,000
  5. Step 5: Solve for x
    x = 26,965,449,574,560,000/76,045,224
  6. Step 6: Final answer
    x = 354,597,542.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.