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Finding the Third Proportional to 207,686,708 and 443,171,212

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Solution

The third proportional to 207,686,708 and 443,171,212 is: 945,658,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,686,708 : 443,171,212 = 443,171,212 : x
  2. Step 2: Convert to fraction form
    207,686,708/443,171,212 = 443,171,212/x
  3. Step 3: Cross multiply
    207,686,708x = 443,171,212 × 443,171,212
  4. Step 4: Simplify right side
    207,686,708x = 196,400,723,145,548,928
  5. Step 5: Solve for x
    x = 196,400,723,145,548,928/207,686,708
  6. Step 6: Final answer
    x = 945,658,607.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.