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Finding the Third Proportional to 77,284,950.94 and 166,676,450.06

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Solution

The third proportional to 77,284,950.94 and 166,676,450.06 is: 359,462,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,950.94 : 166,676,450.06 = 166,676,450.06 : x
  2. Step 2: Convert to fraction form
    77,284,950.94/166,676,450.06 = 166,676,450.06/x
  3. Step 3: Cross multiply
    77,284,950.94x = 166,676,450.06 × 166,676,450.06
  4. Step 4: Simplify right side
    77,284,950.94x = 27,781,039,005,437,056
  5. Step 5: Solve for x
    x = 27,781,039,005,437,056/77,284,950.94
  6. Step 6: Final answer
    x = 359,462,465.44

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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.