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Finding the Third Proportional to 204,394,686 and 448,360,623

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Solution

The third proportional to 204,394,686 and 448,360,623 is: 983,524,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,394,686 : 448,360,623 = 448,360,623 : x
  2. Step 2: Convert to fraction form
    204,394,686/448,360,623 = 448,360,623/x
  3. Step 3: Cross multiply
    204,394,686x = 448,360,623 × 448,360,623
  4. Step 4: Simplify right side
    204,394,686x = 201,027,248,256,948,128
  5. Step 5: Solve for x
    x = 201,027,248,256,948,128/204,394,686
  6. Step 6: Final answer
    x = 983,524,827.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.