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Finding the Third Proportional to 122,129,184 and 263,389,704

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Solution

The third proportional to 122,129,184 and 263,389,704 is: 568,038,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129,184 : 263,389,704 = 263,389,704 : x
  2. Step 2: Convert to fraction form
    122,129,184/263,389,704 = 263,389,704/x
  3. Step 3: Cross multiply
    122,129,184x = 263,389,704 × 263,389,704
  4. Step 4: Simplify right side
    122,129,184x = 69,374,136,173,207,616
  5. Step 5: Solve for x
    x = 69,374,136,173,207,616/122,129,184
  6. Step 6: Final answer
    x = 568,038,972.35

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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.