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Finding the Third Proportional to 47,198,700 and 102,703,608

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Solution

The third proportional to 47,198,700 and 102,703,608 is: 223,481,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,198,700 : 102,703,608 = 102,703,608 : x
  2. Step 2: Convert to fraction form
    47,198,700/102,703,608 = 102,703,608/x
  3. Step 3: Cross multiply
    47,198,700x = 102,703,608 × 102,703,608
  4. Step 4: Simplify right side
    47,198,700x = 10,548,031,096,217,664
  5. Step 5: Solve for x
    x = 10,548,031,096,217,664/47,198,700
  6. Step 6: Final answer
    x = 223,481,390.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.