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Finding the Third Proportional to 219,261,806.25 and 487,546,893

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Solution

The third proportional to 219,261,806.25 and 487,546,893 is: 1,084,101,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,261,806.25 : 487,546,893 = 487,546,893 : x
  2. Step 2: Convert to fraction form
    219,261,806.25/487,546,893 = 487,546,893/x
  3. Step 3: Cross multiply
    219,261,806.25x = 487,546,893 × 487,546,893
  4. Step 4: Simplify right side
    219,261,806.25x = 237,701,972,873,953,440
  5. Step 5: Solve for x
    x = 237,701,972,873,953,440/219,261,806.25
  6. Step 6: Final answer
    x = 1,084,101,134.34

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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.