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Finding the Third Proportional to 238,860,252,812 and 513,168,545,992

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Solution

The third proportional to 238,860,252,812 and 513,168,545,992 is: 1,102,493,836,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,860,252,812 : 513,168,545,992 = 513,168,545,992 : x
  2. Step 2: Convert to fraction form
    238,860,252,812/513,168,545,992 = 513,168,545,992/x
  3. Step 3: Cross multiply
    238,860,252,812x = 513,168,545,992 × 513,168,545,992
  4. Step 4: Simplify right side
    238,860,252,812x = 263,341,956,595,543,422,533,632
  5. Step 5: Solve for x
    x = 263,341,956,595,543,422,533,632/238,860,252,812
  6. Step 6: Final answer
    x = 1,102,493,836,857.87

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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.