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Finding the Third Proportional to 109,860,254 and 166,204,323

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Solution

The third proportional to 109,860,254 and 166,204,323 is: 251,445,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,860,254 : 166,204,323 = 166,204,323 : x
  2. Step 2: Convert to fraction form
    109,860,254/166,204,323 = 166,204,323/x
  3. Step 3: Cross multiply
    109,860,254x = 166,204,323 × 166,204,323
  4. Step 4: Simplify right side
    109,860,254x = 27,623,876,983,888,328
  5. Step 5: Solve for x
    x = 27,623,876,983,888,328/109,860,254
  6. Step 6: Final answer
    x = 251,445,595.46

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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.