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Finding the Third Proportional to 219,530,028.50 and 433,507,992.50

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Solution

The third proportional to 219,530,028.50 and 433,507,992.50 is: 856,052,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,530,028.50 : 433,507,992.50 = 433,507,992.50 : x
  2. Step 2: Convert to fraction form
    219,530,028.50/433,507,992.50 = 433,507,992.50/x
  3. Step 3: Cross multiply
    219,530,028.50x = 433,507,992.50 × 433,507,992.50
  4. Step 4: Simplify right side
    219,530,028.50x = 187,929,179,561,380,064
  5. Step 5: Solve for x
    x = 187,929,179,561,380,064/219,530,028.50
  6. Step 6: Final answer
    x = 856,052,271.51

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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.