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Finding the Third Proportional to 191,170,173.09 and 295,200,186.75

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Solution

The third proportional to 191,170,173.09 and 295,200,186.75 is: 455,840,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,170,173.09 : 295,200,186.75 = 295,200,186.75 : x
  2. Step 2: Convert to fraction form
    191,170,173.09/295,200,186.75 = 295,200,186.75/x
  3. Step 3: Cross multiply
    191,170,173.09x = 295,200,186.75 × 295,200,186.75
  4. Step 4: Simplify right side
    191,170,173.09x = 87,143,150,257,234,880
  5. Step 5: Solve for x
    x = 87,143,150,257,234,880/191,170,173.09
  6. Step 6: Final answer
    x = 455,840,724.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.