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Finding the Third Proportional to 164,493,576.30 and 365,765,568.47

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Solution

The third proportional to 164,493,576.30 and 365,765,568.47 is: 813,311,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,493,576.30 : 365,765,568.47 = 365,765,568.47 : x
  2. Step 2: Convert to fraction form
    164,493,576.30/365,765,568.47 = 365,765,568.47/x
  3. Step 3: Cross multiply
    164,493,576.30x = 365,765,568.47 × 365,765,568.47
  4. Step 4: Simplify right side
    164,493,576.30x = 133,784,451,077,275,168
  5. Step 5: Solve for x
    x = 133,784,451,077,275,168/164,493,576.30
  6. Step 6: Final answer
    x = 813,311,097.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.