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Finding the Third Proportional to 139,887,005,960.25 and 214,883,551,766.25

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Solution

The third proportional to 139,887,005,960.25 and 214,883,551,766.25 is: 330,087,419,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,887,005,960.25 : 214,883,551,766.25 = 214,883,551,766.25 : x
  2. Step 2: Convert to fraction form
    139,887,005,960.25/214,883,551,766.25 = 214,883,551,766.25/x
  3. Step 3: Cross multiply
    139,887,005,960.25x = 214,883,551,766.25 × 214,883,551,766.25
  4. Step 4: Simplify right side
    139,887,005,960.25x = 46,174,940,819,678,644,142,080
  5. Step 5: Solve for x
    x = 46,174,940,819,678,644,142,080/139,887,005,960.25
  6. Step 6: Final answer
    x = 330,087,419,504.85

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Why These Related Problems?

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