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Finding the Third Proportional to 205,546,045.50 and 302,641,616.25

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Solution

The third proportional to 205,546,045.50 and 302,641,616.25 is: 445,603,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,546,045.50 : 302,641,616.25 = 302,641,616.25 : x
  2. Step 2: Convert to fraction form
    205,546,045.50/302,641,616.25 = 302,641,616.25/x
  3. Step 3: Cross multiply
    205,546,045.50x = 302,641,616.25 × 302,641,616.25
  4. Step 4: Simplify right side
    205,546,045.50x = 91,591,947,886,412,272
  5. Step 5: Solve for x
    x = 91,591,947,886,412,272/205,546,045.50
  6. Step 6: Final answer
    x = 445,603,065.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.