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Finding the Third Proportional to 259,705,230 and 388,738,773

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Solution

The third proportional to 259,705,230 and 388,738,773 is: 581,882,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,705,230 : 388,738,773 = 388,738,773 : x
  2. Step 2: Convert to fraction form
    259,705,230/388,738,773 = 388,738,773/x
  3. Step 3: Cross multiply
    259,705,230x = 388,738,773 × 388,738,773
  4. Step 4: Simplify right side
    259,705,230x = 151,117,833,633,545,536
  5. Step 5: Solve for x
    x = 151,117,833,633,545,536/259,705,230
  6. Step 6: Final answer
    x = 581,882,134.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.