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Finding the Third Proportional to 71,603,422 and 106,062,896

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Solution

The third proportional to 71,603,422 and 106,062,896 is: 157,106,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,603,422 : 106,062,896 = 106,062,896 : x
  2. Step 2: Convert to fraction form
    71,603,422/106,062,896 = 106,062,896/x
  3. Step 3: Cross multiply
    71,603,422x = 106,062,896 × 106,062,896
  4. Step 4: Simplify right side
    71,603,422x = 11,249,337,907,906,816
  5. Step 5: Solve for x
    x = 11,249,337,907,906,816/71,603,422
  6. Step 6: Final answer
    x = 157,106,149.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.