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Finding the Third Proportional to 227,647,867.50 and 489,822,723

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Solution

The third proportional to 227,647,867.50 and 489,822,723 is: 1,053,936,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647,867.50 : 489,822,723 = 489,822,723 : x
  2. Step 2: Convert to fraction form
    227,647,867.50/489,822,723 = 489,822,723/x
  3. Step 3: Cross multiply
    227,647,867.50x = 489,822,723 × 489,822,723
  4. Step 4: Simplify right side
    227,647,867.50x = 239,926,299,967,134,720
  5. Step 5: Solve for x
    x = 239,926,299,967,134,720/227,647,867.50
  6. Step 6: Final answer
    x = 1,053,936,075.05

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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.