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Finding the Third Proportional to 164,012,758.16 and 361,456,539.38

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Solution

The third proportional to 164,012,758.16 and 361,456,539.38 is: 796,589,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,012,758.16 : 361,456,539.38 = 361,456,539.38 : x
  2. Step 2: Convert to fraction form
    164,012,758.16/361,456,539.38 = 361,456,539.38/x
  3. Step 3: Cross multiply
    164,012,758.16x = 361,456,539.38 × 361,456,539.38
  4. Step 4: Simplify right side
    164,012,758.16x = 130,650,829,861,187,168
  5. Step 5: Solve for x
    x = 130,650,829,861,187,168/164,012,758.16
  6. Step 6: Final answer
    x = 796,589,431.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.