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Finding the Third Proportional to 69,915,400 and 105,844,775

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Solution

The third proportional to 69,915,400 and 105,844,775 is: 160,238,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915,400 : 105,844,775 = 105,844,775 : x
  2. Step 2: Convert to fraction form
    69,915,400/105,844,775 = 105,844,775/x
  3. Step 3: Cross multiply
    69,915,400x = 105,844,775 × 105,844,775
  4. Step 4: Simplify right side
    69,915,400x = 11,203,116,394,800,624
  5. Step 5: Solve for x
    x = 11,203,116,394,800,624/69,915,400
  6. Step 6: Final answer
    x = 160,238,179.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.