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Finding the Third Proportional to 199,851,659.44 and 445,655,514.94

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Solution

The third proportional to 199,851,659.44 and 445,655,514.94 is: 993,781,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,851,659.44 : 445,655,514.94 = 445,655,514.94 : x
  2. Step 2: Convert to fraction form
    199,851,659.44/445,655,514.94 = 445,655,514.94/x
  3. Step 3: Cross multiply
    199,851,659.44x = 445,655,514.94 × 445,655,514.94
  4. Step 4: Simplify right side
    199,851,659.44x = 198,608,837,994,208,288
  5. Step 5: Solve for x
    x = 198,608,837,994,208,288/199,851,659.44
  6. Step 6: Final answer
    x = 993,781,280.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.