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Finding the Third Proportional to 139,887,005,961.75 and 214,883,551,768.50

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Solution

The third proportional to 139,887,005,961.75 and 214,883,551,768.50 is: 330,087,419,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,887,005,961.75 : 214,883,551,768.50 = 214,883,551,768.50 : x
  2. Step 2: Convert to fraction form
    139,887,005,961.75/214,883,551,768.50 = 214,883,551,768.50/x
  3. Step 3: Cross multiply
    139,887,005,961.75x = 214,883,551,768.50 × 214,883,551,768.50
  4. Step 4: Simplify right side
    139,887,005,961.75x = 46,174,940,820,645,615,763,456
  5. Step 5: Solve for x
    x = 46,174,940,820,645,615,763,456/139,887,005,961.75
  6. Step 6: Final answer
    x = 330,087,419,508.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.