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Finding the Third Proportional to 85,214,582,568 and 185,261,218,704

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Solution

The third proportional to 85,214,582,568 and 185,261,218,704 is: 402,768,142,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214,582,568 : 185,261,218,704 = 185,261,218,704 : x
  2. Step 2: Convert to fraction form
    85,214,582,568/185,261,218,704 = 185,261,218,704/x
  3. Step 3: Cross multiply
    85,214,582,568x = 185,261,218,704 × 185,261,218,704
  4. Step 4: Simplify right side
    85,214,582,568x = 34,321,719,155,691,320,508,416
  5. Step 5: Solve for x
    x = 34,321,719,155,691,320,508,416/85,214,582,568
  6. Step 6: Final answer
    x = 402,768,142,744.85

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