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Finding the Third Proportional to 149,647,039,087.50 and 325,637,991,999

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Solution

The third proportional to 149,647,039,087.50 and 325,637,991,999 is: 708,601,402,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,647,039,087.50 : 325,637,991,999 = 325,637,991,999 : x
  2. Step 2: Convert to fraction form
    149,647,039,087.50/325,637,991,999 = 325,637,991,999/x
  3. Step 3: Cross multiply
    149,647,039,087.50x = 325,637,991,999 × 325,637,991,999
  4. Step 4: Simplify right side
    149,647,039,087.50x = 106,040,101,833,140,789,575,680
  5. Step 5: Solve for x
    x = 106,040,101,833,140,789,575,680/149,647,039,087.50
  6. Step 6: Final answer
    x = 708,601,402,872.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.