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Finding the Third Proportional to 188,768,745.75 and 444,980,417.25

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Solution

The third proportional to 188,768,745.75 and 444,980,417.25 is: 1,048,942,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,768,745.75 : 444,980,417.25 = 444,980,417.25 : x
  2. Step 2: Convert to fraction form
    188,768,745.75/444,980,417.25 = 444,980,417.25/x
  3. Step 3: Cross multiply
    188,768,745.75x = 444,980,417.25 × 444,980,417.25
  4. Step 4: Simplify right side
    188,768,745.75x = 198,007,571,735,984,096
  5. Step 5: Solve for x
    x = 198,007,571,735,984,096/188,768,745.75
  6. Step 6: Final answer
    x = 1,048,942,561.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.