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Finding the Third Proportional to 69,918,611 and 105,848,972

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Solution

The third proportional to 69,918,611 and 105,848,972 is: 160,243,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,918,611 : 105,848,972 = 105,848,972 : x
  2. Step 2: Convert to fraction form
    69,918,611/105,848,972 = 105,848,972/x
  3. Step 3: Cross multiply
    69,918,611x = 105,848,972 × 105,848,972
  4. Step 4: Simplify right side
    69,918,611x = 11,204,004,873,456,784
  5. Step 5: Solve for x
    x = 11,204,004,873,456,784/69,918,611
  6. Step 6: Final answer
    x = 160,243,527.63

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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.