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Finding the Third Proportional to 137,789,382.50 and 204,101,138.25

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Solution

The third proportional to 137,789,382.50 and 204,101,138.25 is: 302,325,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,789,382.50 : 204,101,138.25 = 204,101,138.25 : x
  2. Step 2: Convert to fraction form
    137,789,382.50/204,101,138.25 = 204,101,138.25/x
  3. Step 3: Cross multiply
    137,789,382.50x = 204,101,138.25 × 204,101,138.25
  4. Step 4: Simplify right side
    137,789,382.50x = 41,657,274,634,945,616
  5. Step 5: Solve for x
    x = 41,657,274,634,945,616/137,789,382.50
  6. Step 6: Final answer
    x = 302,325,722.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.