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Finding the Third Proportional to 77,284,884.38 and 166,676,317.13

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Solution

The third proportional to 77,284,884.38 and 166,676,317.13 is: 359,462,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,884.38 : 166,676,317.13 = 166,676,317.13 : x
  2. Step 2: Convert to fraction form
    77,284,884.38/166,676,317.13 = 166,676,317.13/x
  3. Step 3: Cross multiply
    77,284,884.38x = 166,676,317.13 × 166,676,317.13
  4. Step 4: Simplify right side
    77,284,884.38x = 27,780,994,690,353,568
  5. Step 5: Solve for x
    x = 27,780,994,690,353,568/77,284,884.38
  6. Step 6: Final answer
    x = 359,462,201.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.