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Finding the Third Proportional to 204,423,305 and 445,845,076

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Solution

The third proportional to 204,423,305 and 445,845,076 is: 972,383,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,423,305 : 445,845,076 = 445,845,076 : x
  2. Step 2: Convert to fraction form
    204,423,305/445,845,076 = 445,845,076/x
  3. Step 3: Cross multiply
    204,423,305x = 445,845,076 × 445,845,076
  4. Step 4: Simplify right side
    204,423,305x = 198,777,831,793,445,760
  5. Step 5: Solve for x
    x = 198,777,831,793,445,760/204,423,305
  6. Step 6: Final answer
    x = 972,383,416.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.