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Finding the Third Proportional to 140,308,763,764 and 331,103,571,058

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Solution

The third proportional to 140,308,763,764 and 331,103,571,058 is: 781,345,169,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,308,763,764 : 331,103,571,058 = 331,103,571,058 : x
  2. Step 2: Convert to fraction form
    140,308,763,764/331,103,571,058 = 331,103,571,058/x
  3. Step 3: Cross multiply
    140,308,763,764x = 331,103,571,058 × 331,103,571,058
  4. Step 4: Simplify right side
    140,308,763,764x = 109,629,574,767,360,048,365,568
  5. Step 5: Solve for x
    x = 109,629,574,767,360,048,365,568/140,308,763,764
  6. Step 6: Final answer
    x = 781,345,169,228.04

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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.