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Finding the Third Proportional to 113,675,216 and 246,467,376

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Solution

The third proportional to 113,675,216 and 246,467,376 is: 534,383,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,675,216 : 246,467,376 = 246,467,376 : x
  2. Step 2: Convert to fraction form
    113,675,216/246,467,376 = 246,467,376/x
  3. Step 3: Cross multiply
    113,675,216x = 246,467,376 × 246,467,376
  4. Step 4: Simplify right side
    113,675,216x = 60,746,167,432,325,376
  5. Step 5: Solve for x
    x = 60,746,167,432,325,376/113,675,216
  6. Step 6: Final answer
    x = 534,383,567.24

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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.