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Finding the Third Proportional to 192,489,094 and 415,659,890

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Solution

The third proportional to 192,489,094 and 415,659,890 is: 897,573,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,489,094 : 415,659,890 = 415,659,890 : x
  2. Step 2: Convert to fraction form
    192,489,094/415,659,890 = 415,659,890/x
  3. Step 3: Cross multiply
    192,489,094x = 415,659,890 × 415,659,890
  4. Step 4: Simplify right side
    192,489,094x = 172,773,144,154,812,096
  5. Step 5: Solve for x
    x = 172,773,144,154,812,096/192,489,094
  6. Step 6: Final answer
    x = 897,573,678.41

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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.