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Finding the Third Proportional to 197,915,823 and 301,992,754.50

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Solution

The third proportional to 197,915,823 and 301,992,754.50 is: 460,800,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,915,823 : 301,992,754.50 = 301,992,754.50 : x
  2. Step 2: Convert to fraction form
    197,915,823/301,992,754.50 = 301,992,754.50/x
  3. Step 3: Cross multiply
    197,915,823x = 301,992,754.50 × 301,992,754.50
  4. Step 4: Simplify right side
    197,915,823x = 91,199,623,770,497,264
  5. Step 5: Solve for x
    x = 91,199,623,770,497,264/197,915,823
  6. Step 6: Final answer
    x = 460,800,063.32

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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.