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Finding the Third Proportional to 205,784,262 and 441,408,000

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Solution

The third proportional to 205,784,262 and 441,408,000 is: 946,821,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,784,262 : 441,408,000 = 441,408,000 : x
  2. Step 2: Convert to fraction form
    205,784,262/441,408,000 = 441,408,000/x
  3. Step 3: Cross multiply
    205,784,262x = 441,408,000 × 441,408,000
  4. Step 4: Simplify right side
    205,784,262x = 194,841,022,464,000,000
  5. Step 5: Solve for x
    x = 194,841,022,464,000,000/205,784,262
  6. Step 6: Final answer
    x = 946,821,785.93

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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.