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Finding the Third Proportional to 50,071,368 and 105,522,756.75

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Solution

The third proportional to 50,071,368 and 105,522,756.75 is: 222,383,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071,368 : 105,522,756.75 = 105,522,756.75 : x
  2. Step 2: Convert to fraction form
    50,071,368/105,522,756.75 = 105,522,756.75/x
  3. Step 3: Cross multiply
    50,071,368x = 105,522,756.75 × 105,522,756.75
  4. Step 4: Simplify right side
    50,071,368x = 11,135,052,192,119,670
  5. Step 5: Solve for x
    x = 11,135,052,192,119,670/50,071,368
  6. Step 6: Final answer
    x = 222,383,622.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.