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Finding the Third Proportional to 219,327,433 and 481,704,057

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Solution

The third proportional to 219,327,433 and 481,704,057 is: 1,057,956,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,327,433 : 481,704,057 = 481,704,057 : x
  2. Step 2: Convert to fraction form
    219,327,433/481,704,057 = 481,704,057/x
  3. Step 3: Cross multiply
    219,327,433x = 481,704,057 × 481,704,057
  4. Step 4: Simplify right side
    219,327,433x = 232,038,798,530,259,264
  5. Step 5: Solve for x
    x = 232,038,798,530,259,264/219,327,433
  6. Step 6: Final answer
    x = 1,057,956,113.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.