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Finding the Third Proportional to 69,917,667 and 105,847,772

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Solution

The third proportional to 69,917,667 and 105,847,772 is: 160,242,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,917,667 : 105,847,772 = 105,847,772 : x
  2. Step 2: Convert to fraction form
    69,917,667/105,847,772 = 105,847,772/x
  3. Step 3: Cross multiply
    69,917,667x = 105,847,772 × 105,847,772
  4. Step 4: Simplify right side
    69,917,667x = 11,203,750,837,363,984
  5. Step 5: Solve for x
    x = 11,203,750,837,363,984/69,917,667
  6. Step 6: Final answer
    x = 160,242,057.81

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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.