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Finding the Third Proportional to 109,860,264 and 166,204,338

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Solution

The third proportional to 109,860,264 and 166,204,338 is: 251,445,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,860,264 : 166,204,338 = 166,204,338 : x
  2. Step 2: Convert to fraction form
    109,860,264/166,204,338 = 166,204,338/x
  3. Step 3: Cross multiply
    109,860,264x = 166,204,338 × 166,204,338
  4. Step 4: Simplify right side
    109,860,264x = 27,623,881,970,018,244
  5. Step 5: Solve for x
    x = 27,623,881,970,018,244/109,860,264
  6. Step 6: Final answer
    x = 251,445,617.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.