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Finding the Third Proportional to 153,155,170 and 327,838,676

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Solution

The third proportional to 153,155,170 and 327,838,676 is: 701,760,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,155,170 : 327,838,676 = 327,838,676 : x
  2. Step 2: Convert to fraction form
    153,155,170/327,838,676 = 327,838,676/x
  3. Step 3: Cross multiply
    153,155,170x = 327,838,676 × 327,838,676
  4. Step 4: Simplify right side
    153,155,170x = 107,478,197,481,432,976
  5. Step 5: Solve for x
    x = 107,478,197,481,432,976/153,155,170
  6. Step 6: Final answer
    x = 701,760,165.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.