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Finding the Third Proportional to 94,698,543,834 and 206,067,845,826

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Solution

The third proportional to 94,698,543,834 and 206,067,845,826 is: 448,411,932,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,698,543,834 : 206,067,845,826 = 206,067,845,826 : x
  2. Step 2: Convert to fraction form
    94,698,543,834/206,067,845,826 = 206,067,845,826/x
  3. Step 3: Cross multiply
    94,698,543,834x = 206,067,845,826 × 206,067,845,826
  4. Step 4: Simplify right side
    94,698,543,834x = 42,463,957,083,368,105,967,616
  5. Step 5: Solve for x
    x = 42,463,957,083,368,105,967,616/94,698,543,834
  6. Step 6: Final answer
    x = 448,411,932,899.46

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