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Finding the Third Proportional to 179,185,565,396 and 383,929,504,800

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Solution

The third proportional to 179,185,565,396 and 383,929,504,800 is: 822,621,310,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,185,565,396 : 383,929,504,800 = 383,929,504,800 : x
  2. Step 2: Convert to fraction form
    179,185,565,396/383,929,504,800 = 383,929,504,800/x
  3. Step 3: Cross multiply
    179,185,565,396x = 383,929,504,800 × 383,929,504,800
  4. Step 4: Simplify right side
    179,185,565,396x = 147,401,864,655,973,216,419,840
  5. Step 5: Solve for x
    x = 147,401,864,655,973,216,419,840/179,185,565,396
  6. Step 6: Final answer
    x = 822,621,310,651.98

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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.