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Finding the Third Proportional to 265,978,956,247.50 and 397,225,497,660.75

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Solution

The third proportional to 265,978,956,247.50 and 397,225,497,660.75 is: 593,235,262,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,978,956,247.50 : 397,225,497,660.75 = 397,225,497,660.75 : x
  2. Step 2: Convert to fraction form
    265,978,956,247.50/397,225,497,660.75 = 397,225,497,660.75/x
  3. Step 3: Cross multiply
    265,978,956,247.50x = 397,225,497,660.75 × 397,225,497,660.75
  4. Step 4: Simplify right side
    265,978,956,247.50x = 157,788,095,991,830,496,149,504
  5. Step 5: Solve for x
    x = 157,788,095,991,830,496,149,504/265,978,956,247.50
  6. Step 6: Final answer
    x = 593,235,262,736.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.