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Finding the Third Proportional to 111,822,064 and 239,189,328

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Solution

The third proportional to 111,822,064 and 239,189,328 is: 511,630,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,822,064 : 239,189,328 = 239,189,328 : x
  2. Step 2: Convert to fraction form
    111,822,064/239,189,328 = 239,189,328/x
  3. Step 3: Cross multiply
    111,822,064x = 239,189,328 × 239,189,328
  4. Step 4: Simplify right side
    111,822,064x = 57,211,534,629,091,584
  5. Step 5: Solve for x
    x = 57,211,534,629,091,584/111,822,064
  6. Step 6: Final answer
    x = 511,630,107.53

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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.