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Finding the Third Proportional to 109,364,976 and 258,166,336

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Solution

The third proportional to 109,364,976 and 258,166,336 is: 609,425,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,364,976 : 258,166,336 = 258,166,336 : x
  2. Step 2: Convert to fraction form
    109,364,976/258,166,336 = 258,166,336/x
  3. Step 3: Cross multiply
    109,364,976x = 258,166,336 × 258,166,336
  4. Step 4: Simplify right side
    109,364,976x = 66,649,857,043,664,896
  5. Step 5: Solve for x
    x = 66,649,857,043,664,896/109,364,976
  6. Step 6: Final answer
    x = 609,425,974.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.