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Finding the Third Proportional to 146,648,126 and 318,518,938

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Solution

The third proportional to 146,648,126 and 318,518,938 is: 691,821,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,648,126 : 318,518,938 = 318,518,938 : x
  2. Step 2: Convert to fraction form
    146,648,126/318,518,938 = 318,518,938/x
  3. Step 3: Cross multiply
    146,648,126x = 318,518,938 × 318,518,938
  4. Step 4: Simplify right side
    146,648,126x = 101,454,313,864,647,840
  5. Step 5: Solve for x
    x = 101,454,313,864,647,840/146,648,126
  6. Step 6: Final answer
    x = 691,821,413.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.