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Finding the Third Proportional to 49,115,176 and 106,943,879

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Solution

The third proportional to 49,115,176 and 106,943,879 is: 232,860,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,115,176 : 106,943,879 = 106,943,879 : x
  2. Step 2: Convert to fraction form
    49,115,176/106,943,879 = 106,943,879/x
  3. Step 3: Cross multiply
    49,115,176x = 106,943,879 × 106,943,879
  4. Step 4: Simplify right side
    49,115,176x = 11,436,993,255,566,640
  5. Step 5: Solve for x
    x = 11,436,993,255,566,640/49,115,176
  6. Step 6: Final answer
    x = 232,860,679.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.