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Finding the Third Proportional to 191,290,693.50 and 396,192,181.50

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Solution

The third proportional to 191,290,693.50 and 396,192,181.50 is: 820,574,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,290,693.50 : 396,192,181.50 = 396,192,181.50 : x
  2. Step 2: Convert to fraction form
    191,290,693.50/396,192,181.50 = 396,192,181.50/x
  3. Step 3: Cross multiply
    191,290,693.50x = 396,192,181.50 × 396,192,181.50
  4. Step 4: Simplify right side
    191,290,693.50x = 156,968,244,681,728,928
  5. Step 5: Solve for x
    x = 156,968,244,681,728,928/191,290,693.50
  6. Step 6: Final answer
    x = 820,574,392.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.