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Finding the Third Proportional to 219,261,201.50 and 487,545,748

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Solution

The third proportional to 219,261,201.50 and 487,545,748 is: 1,084,099,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,261,201.50 : 487,545,748 = 487,545,748 : x
  2. Step 2: Convert to fraction form
    219,261,201.50/487,545,748 = 487,545,748/x
  3. Step 3: Cross multiply
    219,261,201.50x = 487,545,748 × 487,545,748
  4. Step 4: Simplify right side
    219,261,201.50x = 237,700,856,392,879,488
  5. Step 5: Solve for x
    x = 237,700,856,392,879,488/219,261,201.50
  6. Step 6: Final answer
    x = 1,084,099,032.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.