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Finding the Third Proportional to 75,850,538 and 166,464,922

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Solution

The third proportional to 75,850,538 and 166,464,922 is: 365,331,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850,538 : 166,464,922 = 166,464,922 : x
  2. Step 2: Convert to fraction form
    75,850,538/166,464,922 = 166,464,922/x
  3. Step 3: Cross multiply
    75,850,538x = 166,464,922 × 166,464,922
  4. Step 4: Simplify right side
    75,850,538x = 27,710,570,256,466,084
  5. Step 5: Solve for x
    x = 27,710,570,256,466,084/75,850,538
  6. Step 6: Final answer
    x = 365,331,228.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.