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Finding the Third Proportional to 146,247,797.50 and 297,603,171.50

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Solution

The third proportional to 146,247,797.50 and 297,603,171.50 is: 605,599,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,247,797.50 : 297,603,171.50 = 297,603,171.50 : x
  2. Step 2: Convert to fraction form
    146,247,797.50/297,603,171.50 = 297,603,171.50/x
  3. Step 3: Cross multiply
    146,247,797.50x = 297,603,171.50 × 297,603,171.50
  4. Step 4: Simplify right side
    146,247,797.50x = 88,567,647,686,858,416
  5. Step 5: Solve for x
    x = 88,567,647,686,858,416/146,247,797.50
  6. Step 6: Final answer
    x = 605,599,873.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.