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Finding the Third Proportional to 219,327,430.50 and 481,704,052.50

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Solution

The third proportional to 219,327,430.50 and 481,704,052.50 is: 1,057,956,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,327,430.50 : 481,704,052.50 = 481,704,052.50 : x
  2. Step 2: Convert to fraction form
    219,327,430.50/481,704,052.50 = 481,704,052.50/x
  3. Step 3: Cross multiply
    219,327,430.50x = 481,704,052.50 × 481,704,052.50
  4. Step 4: Simplify right side
    219,327,430.50x = 232,038,794,194,922,752
  5. Step 5: Solve for x
    x = 232,038,794,194,922,752/219,327,430.50
  6. Step 6: Final answer
    x = 1,057,956,105.47

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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.