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Finding the Third Proportional to 208,166,491 and 462,863,320

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Solution

The third proportional to 208,166,491 and 462,863,320 is: 1,029,187,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,166,491 : 462,863,320 = 462,863,320 : x
  2. Step 2: Convert to fraction form
    208,166,491/462,863,320 = 462,863,320/x
  3. Step 3: Cross multiply
    208,166,491x = 462,863,320 × 462,863,320
  4. Step 4: Simplify right side
    208,166,491x = 214,242,453,001,422,400
  5. Step 5: Solve for x
    x = 214,242,453,001,422,400/208,166,491
  6. Step 6: Final answer
    x = 1,029,187,992.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.