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Finding the Third Proportional to 69,110,901 and 149,305,518

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Solution

The third proportional to 69,110,901 and 149,305,518 is: 322,556,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,110,901 : 149,305,518 = 149,305,518 : x
  2. Step 2: Convert to fraction form
    69,110,901/149,305,518 = 149,305,518/x
  3. Step 3: Cross multiply
    69,110,901x = 149,305,518 × 149,305,518
  4. Step 4: Simplify right side
    69,110,901x = 22,292,137,705,248,324
  5. Step 5: Solve for x
    x = 22,292,137,705,248,324/69,110,901
  6. Step 6: Final answer
    x = 322,556,027.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.