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Finding the Third Proportional to 259,133,425.50 and 397,361,226

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Solution

The third proportional to 259,133,425.50 and 397,361,226 is: 609,322,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,133,425.50 : 397,361,226 = 397,361,226 : x
  2. Step 2: Convert to fraction form
    259,133,425.50/397,361,226 = 397,361,226/x
  3. Step 3: Cross multiply
    259,133,425.50x = 397,361,226 × 397,361,226
  4. Step 4: Simplify right side
    259,133,425.50x = 157,895,943,928,223,072
  5. Step 5: Solve for x
    x = 157,895,943,928,223,072/259,133,425.50
  6. Step 6: Final answer
    x = 609,322,952.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.