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Finding the Third Proportional to 166,830,456 and 363,319,512

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Solution

The third proportional to 166,830,456 and 363,319,512 is: 791,228,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,830,456 : 363,319,512 = 363,319,512 : x
  2. Step 2: Convert to fraction form
    166,830,456/363,319,512 = 363,319,512/x
  3. Step 3: Cross multiply
    166,830,456x = 363,319,512 × 363,319,512
  4. Step 4: Simplify right side
    166,830,456x = 132,001,067,799,918,144
  5. Step 5: Solve for x
    x = 132,001,067,799,918,144/166,830,456
  6. Step 6: Final answer
    x = 791,228,837.74

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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.