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Finding the Third Proportional to 109,860,296 and 166,204,386

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Solution

The third proportional to 109,860,296 and 166,204,386 is: 251,445,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,860,296 : 166,204,386 = 166,204,386 : x
  2. Step 2: Convert to fraction form
    109,860,296/166,204,386 = 166,204,386/x
  3. Step 3: Cross multiply
    109,860,296x = 166,204,386 × 166,204,386
  4. Step 4: Simplify right side
    109,860,296x = 27,623,897,925,636,996
  5. Step 5: Solve for x
    x = 27,623,897,925,636,996/109,860,296
  6. Step 6: Final answer
    x = 251,445,689.95

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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.