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Finding the Third Proportional to 110,362,347 and 234,171,990

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Solution

The third proportional to 110,362,347 and 234,171,990 is: 496,877,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,362,347 : 234,171,990 = 234,171,990 : x
  2. Step 2: Convert to fraction form
    110,362,347/234,171,990 = 234,171,990/x
  3. Step 3: Cross multiply
    110,362,347x = 234,171,990 × 234,171,990
  4. Step 4: Simplify right side
    110,362,347x = 54,836,520,900,560,096
  5. Step 5: Solve for x
    x = 54,836,520,900,560,096/110,362,347
  6. Step 6: Final answer
    x = 496,877,081.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.