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Finding the Third Proportional to 111,072,142 and 239,213,000

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Solution

The third proportional to 111,072,142 and 239,213,000 is: 515,186,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,072,142 : 239,213,000 = 239,213,000 : x
  2. Step 2: Convert to fraction form
    111,072,142/239,213,000 = 239,213,000/x
  3. Step 3: Cross multiply
    111,072,142x = 239,213,000 × 239,213,000
  4. Step 4: Simplify right side
    111,072,142x = 57,222,859,369,000,000
  5. Step 5: Solve for x
    x = 57,222,859,369,000,000/111,072,142
  6. Step 6: Final answer
    x = 515,186,421.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.