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Finding the Third Proportional to 69,917,665 and 105,847,769

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Solution

The third proportional to 69,917,665 and 105,847,769 is: 160,242,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,917,665 : 105,847,769 = 105,847,769 : x
  2. Step 2: Convert to fraction form
    69,917,665/105,847,769 = 105,847,769/x
  3. Step 3: Cross multiply
    69,917,665x = 105,847,769 × 105,847,769
  4. Step 4: Simplify right side
    69,917,665x = 11,203,750,202,277,360
  5. Step 5: Solve for x
    x = 11,203,750,202,277,360/69,917,665
  6. Step 6: Final answer
    x = 160,242,053.31

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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.