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Finding the Third Proportional to 213,542,729.37 and 332,798,959.44

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Solution

The third proportional to 213,542,729.37 and 332,798,959.44 is: 518,655,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,542,729.37 : 332,798,959.44 = 332,798,959.44 : x
  2. Step 2: Convert to fraction form
    213,542,729.37/332,798,959.44 = 332,798,959.44/x
  3. Step 3: Cross multiply
    213,542,729.37x = 332,798,959.44 × 332,798,959.44
  4. Step 4: Simplify right side
    213,542,729.37x = 110,755,147,405,271,936
  5. Step 5: Solve for x
    x = 110,755,147,405,271,936/213,542,729.37
  6. Step 6: Final answer
    x = 518,655,670.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.