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Finding the Third Proportional to 122,001,708 and 268,185,912

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Solution

The third proportional to 122,001,708 and 268,185,912 is: 589,530,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,001,708 : 268,185,912 = 268,185,912 : x
  2. Step 2: Convert to fraction form
    122,001,708/268,185,912 = 268,185,912/x
  3. Step 3: Cross multiply
    122,001,708x = 268,185,912 × 268,185,912
  4. Step 4: Simplify right side
    122,001,708x = 71,923,683,395,271,744
  5. Step 5: Solve for x
    x = 71,923,683,395,271,744/122,001,708
  6. Step 6: Final answer
    x = 589,530,135.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.