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Finding the Third Proportional to 168,911,986 and 261,124,795

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Solution

The third proportional to 168,911,986 and 261,124,795 is: 403,678,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,911,986 : 261,124,795 = 261,124,795 : x
  2. Step 2: Convert to fraction form
    168,911,986/261,124,795 = 261,124,795/x
  3. Step 3: Cross multiply
    168,911,986x = 261,124,795 × 261,124,795
  4. Step 4: Simplify right side
    168,911,986x = 68,186,158,563,792,024
  5. Step 5: Solve for x
    x = 68,186,158,563,792,024/168,911,986
  6. Step 6: Final answer
    x = 403,678,626.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.