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Finding the Third Proportional to 194,350,105 and 298,020,975

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Solution

The third proportional to 194,350,105 and 298,020,975 is: 456,992,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,350,105 : 298,020,975 = 298,020,975 : x
  2. Step 2: Convert to fraction form
    194,350,105/298,020,975 = 298,020,975/x
  3. Step 3: Cross multiply
    194,350,105x = 298,020,975 × 298,020,975
  4. Step 4: Simplify right side
    194,350,105x = 88,816,501,539,950,624
  5. Step 5: Solve for x
    x = 88,816,501,539,950,624/194,350,105
  6. Step 6: Final answer
    x = 456,992,300.26

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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.