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Finding the Third Proportional to 109,860,316 and 166,204,416

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Solution

The third proportional to 109,860,316 and 166,204,416 is: 251,445,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,860,316 : 166,204,416 = 166,204,416 : x
  2. Step 2: Convert to fraction form
    109,860,316/166,204,416 = 166,204,416/x
  3. Step 3: Cross multiply
    109,860,316x = 166,204,416 × 166,204,416
  4. Step 4: Simplify right side
    109,860,316x = 27,623,907,897,901,056
  5. Step 5: Solve for x
    x = 27,623,907,897,901,056/109,860,316
  6. Step 6: Final answer
    x = 251,445,734.94

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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.