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Finding the Third Proportional to 219,327,385.50 and 481,703,962.50

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Solution

The third proportional to 219,327,385.50 and 481,703,962.50 is: 1,057,955,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,327,385.50 : 481,703,962.50 = 481,703,962.50 : x
  2. Step 2: Convert to fraction form
    219,327,385.50/481,703,962.50 = 481,703,962.50/x
  3. Step 3: Cross multiply
    219,327,385.50x = 481,703,962.50 × 481,703,962.50
  4. Step 4: Simplify right side
    219,327,385.50x = 232,038,707,488,201,408
  5. Step 5: Solve for x
    x = 232,038,707,488,201,408/219,327,385.50
  6. Step 6: Final answer
    x = 1,057,955,927.21

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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.