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Finding the Third Proportional to 94,698,516,907.69 and 206,067,791,782.12

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Solution

The third proportional to 94,698,516,907.69 and 206,067,791,782.12 is: 448,411,825,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,698,516,907.69 : 206,067,791,782.12 = 206,067,791,782.12 : x
  2. Step 2: Convert to fraction form
    94,698,516,907.69/206,067,791,782.12 = 206,067,791,782.12/x
  3. Step 3: Cross multiply
    94,698,516,907.69x = 206,067,791,782.12 × 206,067,791,782.12
  4. Step 4: Simplify right side
    94,698,516,907.69x = 42,463,934,809,959,162,707,968
  5. Step 5: Solve for x
    x = 42,463,934,809,959,162,707,968/94,698,516,907.69
  6. Step 6: Final answer
    x = 448,411,825,196.31

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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.