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Finding the Third Proportional to 109,242,883.50 and 234,067,760.50

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Solution

The third proportional to 109,242,883.50 and 234,067,760.50 is: 501,522,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,883.50 : 234,067,760.50 = 234,067,760.50 : x
  2. Step 2: Convert to fraction form
    109,242,883.50/234,067,760.50 = 234,067,760.50/x
  3. Step 3: Cross multiply
    109,242,883.50x = 234,067,760.50 × 234,067,760.50
  4. Step 4: Simplify right side
    109,242,883.50x = 54,787,716,505,485,360
  5. Step 5: Solve for x
    x = 54,787,716,505,485,360/109,242,883.50
  6. Step 6: Final answer
    x = 501,522,064.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.