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Finding the Third Proportional to 69,449,291 and 148,122,254

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Solution

The third proportional to 69,449,291 and 148,122,254 is: 315,916,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,449,291 : 148,122,254 = 148,122,254 : x
  2. Step 2: Convert to fraction form
    69,449,291/148,122,254 = 148,122,254/x
  3. Step 3: Cross multiply
    69,449,291x = 148,122,254 × 148,122,254
  4. Step 4: Simplify right side
    69,449,291x = 21,940,202,130,040,516
  5. Step 5: Solve for x
    x = 21,940,202,130,040,516/69,449,291
  6. Step 6: Final answer
    x = 315,916,862.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.