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Finding the Third Proportional to 85,261,504.50 and 184,994,573.63

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Solution

The third proportional to 85,261,504.50 and 184,994,573.63 is: 401,388,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,261,504.50 : 184,994,573.63 = 184,994,573.63 : x
  2. Step 2: Convert to fraction form
    85,261,504.50/184,994,573.63 = 184,994,573.63/x
  3. Step 3: Cross multiply
    85,261,504.50x = 184,994,573.63 × 184,994,573.63
  4. Step 4: Simplify right side
    85,261,504.50x = 34,222,992,270,695,544
  5. Step 5: Solve for x
    x = 34,222,992,270,695,544/85,261,504.50
  6. Step 6: Final answer
    x = 401,388,557.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.