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Finding the Third Proportional to 149,325,928,767 and 218,319,729,507

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Solution

The third proportional to 149,325,928,767 and 218,319,729,507 is: 319,191,078,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,325,928,767 : 218,319,729,507 = 218,319,729,507 : x
  2. Step 2: Convert to fraction form
    149,325,928,767/218,319,729,507 = 218,319,729,507/x
  3. Step 3: Cross multiply
    149,325,928,767x = 218,319,729,507 × 218,319,729,507
  4. Step 4: Simplify right side
    149,325,928,767x = 47,663,504,292,009,648,062,464
  5. Step 5: Solve for x
    x = 47,663,504,292,009,648,062,464/149,325,928,767
  6. Step 6: Final answer
    x = 319,191,078,773.61

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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.