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Finding the Third Proportional to 122,129,259 and 263,389,854

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Solution

The third proportional to 122,129,259 and 263,389,854 is: 568,039,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129,259 : 263,389,854 = 263,389,854 : x
  2. Step 2: Convert to fraction form
    122,129,259/263,389,854 = 263,389,854/x
  3. Step 3: Cross multiply
    122,129,259x = 263,389,854 × 263,389,854
  4. Step 4: Simplify right side
    122,129,259x = 69,374,215,190,141,312
  5. Step 5: Solve for x
    x = 69,374,215,190,141,312/122,129,259
  6. Step 6: Final answer
    x = 568,039,270.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.