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Finding the Third Proportional to 219,530,031 and 433,507,996.50

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Solution

The third proportional to 219,530,031 and 433,507,996.50 is: 856,052,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,530,031 : 433,507,996.50 = 433,507,996.50 : x
  2. Step 2: Convert to fraction form
    219,530,031/433,507,996.50 = 433,507,996.50/x
  3. Step 3: Cross multiply
    219,530,031x = 433,507,996.50 × 433,507,996.50
  4. Step 4: Simplify right side
    219,530,031x = 187,929,183,029,444,000
  5. Step 5: Solve for x
    x = 187,929,183,029,444,000/219,530,031
  6. Step 6: Final answer
    x = 856,052,277.56

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Why These Related Problems?

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