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Finding the Third Proportional to 207,686,703 and 443,171,202

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Solution

The third proportional to 207,686,703 and 443,171,202 is: 945,658,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,686,703 : 443,171,202 = 443,171,202 : x
  2. Step 2: Convert to fraction form
    207,686,703/443,171,202 = 443,171,202/x
  3. Step 3: Cross multiply
    207,686,703x = 443,171,202 × 443,171,202
  4. Step 4: Simplify right side
    207,686,703x = 196,400,714,282,124,800
  5. Step 5: Solve for x
    x = 196,400,714,282,124,800/207,686,703
  6. Step 6: Final answer
    x = 945,658,587.89

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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.