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Finding the Third Proportional to 204,015,564 and 440,271,396

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Solution

The third proportional to 204,015,564 and 440,271,396 is: 950,118,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,015,564 : 440,271,396 = 440,271,396 : x
  2. Step 2: Convert to fraction form
    204,015,564/440,271,396 = 440,271,396/x
  3. Step 3: Cross multiply
    204,015,564x = 440,271,396 × 440,271,396
  4. Step 4: Simplify right side
    204,015,564x = 193,838,902,135,788,800
  5. Step 5: Solve for x
    x = 193,838,902,135,788,800/204,015,564
  6. Step 6: Final answer
    x = 950,118,208.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.