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Finding the Third Proportional to 51,171,569 and 110,846,194

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Solution

The third proportional to 51,171,569 and 110,846,194 is: 240,111,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,171,569 : 110,846,194 = 110,846,194 : x
  2. Step 2: Convert to fraction form
    51,171,569/110,846,194 = 110,846,194/x
  3. Step 3: Cross multiply
    51,171,569x = 110,846,194 × 110,846,194
  4. Step 4: Simplify right side
    51,171,569x = 12,286,878,724,285,636
  5. Step 5: Solve for x
    x = 12,286,878,724,285,636/51,171,569
  6. Step 6: Final answer
    x = 240,111,432.27

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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.