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Finding the Third Proportional to 122,129,257 and 263,389,850

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Solution

The third proportional to 122,129,257 and 263,389,850 is: 568,039,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129,257 : 263,389,850 = 263,389,850 : x
  2. Step 2: Convert to fraction form
    122,129,257/263,389,850 = 263,389,850/x
  3. Step 3: Cross multiply
    122,129,257x = 263,389,850 × 263,389,850
  4. Step 4: Simplify right side
    122,129,257x = 69,374,213,083,022,496
  5. Step 5: Solve for x
    x = 69,374,213,083,022,496/122,129,257
  6. Step 6: Final answer
    x = 568,039,262.56

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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.