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Finding the Third Proportional to 258,411,976 and 397,197,102

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Solution

The third proportional to 258,411,976 and 397,197,102 is: 610,519,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,411,976 : 397,197,102 = 397,197,102 : x
  2. Step 2: Convert to fraction form
    258,411,976/397,197,102 = 397,197,102/x
  3. Step 3: Cross multiply
    258,411,976x = 397,197,102 × 397,197,102
  4. Step 4: Simplify right side
    258,411,976x = 157,765,537,837,198,400
  5. Step 5: Solve for x
    x = 157,765,537,837,198,400/258,411,976
  6. Step 6: Final answer
    x = 610,519,451.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.