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Finding the Third Proportional to 80,697,842.16 and 172,614,994.31

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Solution

The third proportional to 80,697,842.16 and 172,614,994.31 is: 369,228,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,697,842.16 : 172,614,994.31 = 172,614,994.31 : x
  2. Step 2: Convert to fraction form
    80,697,842.16/172,614,994.31 = 172,614,994.31/x
  3. Step 3: Cross multiply
    80,697,842.16x = 172,614,994.31 × 172,614,994.31
  4. Step 4: Simplify right side
    80,697,842.16x = 29,795,936,261,504,408
  5. Step 5: Solve for x
    x = 29,795,936,261,504,408/80,697,842.16
  6. Step 6: Final answer
    x = 369,228,413.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.