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Finding the Third Proportional to 69,915,544 and 105,844,991

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Solution

The third proportional to 69,915,544 and 105,844,991 is: 160,238,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915,544 : 105,844,991 = 105,844,991 : x
  2. Step 2: Convert to fraction form
    69,915,544/105,844,991 = 105,844,991/x
  3. Step 3: Cross multiply
    69,915,544x = 105,844,991 × 105,844,991
  4. Step 4: Simplify right side
    69,915,544x = 11,203,162,119,790,080
  5. Step 5: Solve for x
    x = 11,203,162,119,790,080/69,915,544
  6. Step 6: Final answer
    x = 160,238,503.18

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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.