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Finding the Third Proportional to 69,835,503 and 164,621,670

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Solution

The third proportional to 69,835,503 and 164,621,670 is: 388,058,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,503 : 164,621,670 = 164,621,670 : x
  2. Step 2: Convert to fraction form
    69,835,503/164,621,670 = 164,621,670/x
  3. Step 3: Cross multiply
    69,835,503x = 164,621,670 × 164,621,670
  4. Step 4: Simplify right side
    69,835,503x = 27,100,294,233,588,900
  5. Step 5: Solve for x
    x = 27,100,294,233,588,900/69,835,503
  6. Step 6: Final answer
    x = 388,058,982.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.