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Finding the Third Proportional to 219,530,027.25 and 433,507,990.50

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Solution

The third proportional to 219,530,027.25 and 433,507,990.50 is: 856,052,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,530,027.25 : 433,507,990.50 = 433,507,990.50 : x
  2. Step 2: Convert to fraction form
    219,530,027.25/433,507,990.50 = 433,507,990.50/x
  3. Step 3: Cross multiply
    219,530,027.25x = 433,507,990.50 × 433,507,990.50
  4. Step 4: Simplify right side
    219,530,027.25x = 187,929,177,827,348,096
  5. Step 5: Solve for x
    x = 187,929,177,827,348,096/219,530,027.25
  6. Step 6: Final answer
    x = 856,052,268.48

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.