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Finding the Third Proportional to 85,992,603,262 and 188,515,147,388

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Solution

The third proportional to 85,992,603,262 and 188,515,147,388 is: 413,267,646,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,992,603,262 : 188,515,147,388 = 188,515,147,388 : x
  2. Step 2: Convert to fraction form
    85,992,603,262/188,515,147,388 = 188,515,147,388/x
  3. Step 3: Cross multiply
    85,992,603,262x = 188,515,147,388 × 188,515,147,388
  4. Step 4: Simplify right side
    85,992,603,262x = 35,537,960,794,719,361,433,600
  5. Step 5: Solve for x
    x = 35,537,960,794,719,361,433,600/85,992,603,262
  6. Step 6: Final answer
    x = 413,267,646,828.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.