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Finding the Third Proportional to 149,325,928,769 and 218,319,729,510

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Solution

The third proportional to 149,325,928,769 and 218,319,729,510 is: 319,191,078,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,325,928,769 : 218,319,729,510 = 218,319,729,510 : x
  2. Step 2: Convert to fraction form
    149,325,928,769/218,319,729,510 = 218,319,729,510/x
  3. Step 3: Cross multiply
    149,325,928,769x = 218,319,729,510 × 218,319,729,510
  4. Step 4: Simplify right side
    149,325,928,769x = 47,663,504,293,319,562,756,096
  5. Step 5: Solve for x
    x = 47,663,504,293,319,562,756,096/149,325,928,769
  6. Step 6: Final answer
    x = 319,191,078,778.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.