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Finding the Third Proportional to 197,285,352 and 423,659,268

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Solution

The third proportional to 197,285,352 and 423,659,268 is: 909,784,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,285,352 : 423,659,268 = 423,659,268 : x
  2. Step 2: Convert to fraction form
    197,285,352/423,659,268 = 423,659,268/x
  3. Step 3: Cross multiply
    197,285,352x = 423,659,268 × 423,659,268
  4. Step 4: Simplify right side
    197,285,352x = 179,487,175,362,295,808
  5. Step 5: Solve for x
    x = 179,487,175,362,295,808/197,285,352
  6. Step 6: Final answer
    x = 909,784,601.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.