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Finding the Third Proportional to 122,129,190 and 263,389,764

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Solution

The third proportional to 122,129,190 and 263,389,764 is: 568,039,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129,190 : 263,389,764 = 263,389,764 : x
  2. Step 2: Convert to fraction form
    122,129,190/263,389,764 = 263,389,764/x
  3. Step 3: Cross multiply
    122,129,190x = 263,389,764 × 263,389,764
  4. Step 4: Simplify right side
    122,129,190x = 69,374,167,779,975,696
  5. Step 5: Solve for x
    x = 69,374,167,779,975,696/122,129,190
  6. Step 6: Final answer
    x = 568,039,203.24

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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.