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Finding the Third Proportional to 161,774,874 and 353,815,884

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Solution

The third proportional to 161,774,874 and 353,815,884 is: 773,826,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,774,874 : 353,815,884 = 353,815,884 : x
  2. Step 2: Convert to fraction form
    161,774,874/353,815,884 = 353,815,884/x
  3. Step 3: Cross multiply
    161,774,874x = 353,815,884 × 353,815,884
  4. Step 4: Simplify right side
    161,774,874x = 125,185,679,770,701,456
  5. Step 5: Solve for x
    x = 125,185,679,770,701,456/161,774,874
  6. Step 6: Final answer
    x = 773,826,470.55

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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.