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Finding the Third Proportional to 109,095,708 and 242,405,187

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Solution

The third proportional to 109,095,708 and 242,405,187 is: 538,612,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,095,708 : 242,405,187 = 242,405,187 : x
  2. Step 2: Convert to fraction form
    109,095,708/242,405,187 = 242,405,187/x
  3. Step 3: Cross multiply
    109,095,708x = 242,405,187 × 242,405,187
  4. Step 4: Simplify right side
    109,095,708x = 58,760,274,684,504,968
  5. Step 5: Solve for x
    x = 58,760,274,684,504,968/109,095,708
  6. Step 6: Final answer
    x = 538,612,157.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.