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Finding the Third Proportional to 189,303,177.75 and 283,198,029.75

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Solution

The third proportional to 189,303,177.75 and 283,198,029.75 is: 423,664,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,303,177.75 : 283,198,029.75 = 283,198,029.75 : x
  2. Step 2: Convert to fraction form
    189,303,177.75/283,198,029.75 = 283,198,029.75/x
  3. Step 3: Cross multiply
    189,303,177.75x = 283,198,029.75 × 283,198,029.75
  4. Step 4: Simplify right side
    189,303,177.75x = 80,201,124,054,281,888
  5. Step 5: Solve for x
    x = 80,201,124,054,281,888/189,303,177.75
  6. Step 6: Final answer
    x = 423,664,964.36

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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.