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Finding the Third Proportional to 82,987,947 and 123,809,296.50

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Solution

The third proportional to 82,987,947 and 123,809,296.50 is: 184,710,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987,947 : 123,809,296.50 = 123,809,296.50 : x
  2. Step 2: Convert to fraction form
    82,987,947/123,809,296.50 = 123,809,296.50/x
  3. Step 3: Cross multiply
    82,987,947x = 123,809,296.50 × 123,809,296.50
  4. Step 4: Simplify right side
    82,987,947x = 15,328,741,899,824,912
  5. Step 5: Solve for x
    x = 15,328,741,899,824,912/82,987,947
  6. Step 6: Final answer
    x = 184,710,460.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.