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Finding the Third Proportional to 54,999,078 and 120,980,766

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Solution

The third proportional to 54,999,078 and 120,980,766 is: 266,119,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,999,078 : 120,980,766 = 120,980,766 : x
  2. Step 2: Convert to fraction form
    54,999,078/120,980,766 = 120,980,766/x
  3. Step 3: Cross multiply
    54,999,078x = 120,980,766 × 120,980,766
  4. Step 4: Simplify right side
    54,999,078x = 14,636,345,741,946,756
  5. Step 5: Solve for x
    x = 14,636,345,741,946,756/54,999,078
  6. Step 6: Final answer
    x = 266,119,838.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.