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Finding the Third Proportional to 179,636,661,084 and 386,518,538,920

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Solution

The third proportional to 179,636,661,084 and 386,518,538,920 is: 831,659,751,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,636,661,084 : 386,518,538,920 = 386,518,538,920 : x
  2. Step 2: Convert to fraction form
    179,636,661,084/386,518,538,920 = 386,518,538,920/x
  3. Step 3: Cross multiply
    179,636,661,084x = 386,518,538,920 × 386,518,538,920
  4. Step 4: Simplify right side
    179,636,661,084x = 149,396,580,928,851,562,987,520
  5. Step 5: Solve for x
    x = 149,396,580,928,851,562,987,520/179,636,661,084
  6. Step 6: Final answer
    x = 831,659,751,563.70

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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.