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Finding the Third Proportional to 90,036,408.94 and 193,722,978.38

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Solution

The third proportional to 90,036,408.94 and 193,722,978.38 is: 416,815,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,036,408.94 : 193,722,978.38 = 193,722,978.38 : x
  2. Step 2: Convert to fraction form
    90,036,408.94/193,722,978.38 = 193,722,978.38/x
  3. Step 3: Cross multiply
    90,036,408.94x = 193,722,978.38 × 193,722,978.38
  4. Step 4: Simplify right side
    90,036,408.94x = 37,528,592,350,480,720
  5. Step 5: Solve for x
    x = 37,528,592,350,480,720/90,036,408.94
  6. Step 6: Final answer
    x = 416,815,739.25

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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.