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Finding the Third Proportional to 94,698,543,819 and 206,067,845,796

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Solution

The third proportional to 94,698,543,819 and 206,067,845,796 is: 448,411,932,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,698,543,819 : 206,067,845,796 = 206,067,845,796 : x
  2. Step 2: Convert to fraction form
    94,698,543,819/206,067,845,796 = 206,067,845,796/x
  3. Step 3: Cross multiply
    94,698,543,819x = 206,067,845,796 × 206,067,845,796
  4. Step 4: Simplify right side
    94,698,543,819x = 42,463,957,071,004,035,973,120
  5. Step 5: Solve for x
    x = 42,463,957,071,004,035,973,120/94,698,543,819
  6. Step 6: Final answer
    x = 448,411,932,839.92

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Why These Related Problems?

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