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Finding the Third Proportional to 279,586,098 and 437,632,203

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Solution

The third proportional to 279,586,098 and 437,632,203 is: 685,019,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,586,098 : 437,632,203 = 437,632,203 : x
  2. Step 2: Convert to fraction form
    279,586,098/437,632,203 = 437,632,203/x
  3. Step 3: Cross multiply
    279,586,098x = 437,632,203 × 437,632,203
  4. Step 4: Simplify right side
    279,586,098x = 191,521,945,102,633,216
  5. Step 5: Solve for x
    x = 191,521,945,102,633,216/279,586,098
  6. Step 6: Final answer
    x = 685,019,557.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.