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Finding the Third Proportional to 51,171,556 and 110,846,168

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Solution

The third proportional to 51,171,556 and 110,846,168 is: 240,111,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,171,556 : 110,846,168 = 110,846,168 : x
  2. Step 2: Convert to fraction form
    51,171,556/110,846,168 = 110,846,168/x
  3. Step 3: Cross multiply
    51,171,556x = 110,846,168 × 110,846,168
  4. Step 4: Simplify right side
    51,171,556x = 12,286,872,960,284,224
  5. Step 5: Solve for x
    x = 12,286,872,960,284,224/51,171,556
  6. Step 6: Final answer
    x = 240,111,380.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.