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Finding the Third Proportional to 123,814,758 and 186,034,137

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Solution

The third proportional to 123,814,758 and 186,034,137 is: 279,519,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814,758 : 186,034,137 = 186,034,137 : x
  2. Step 2: Convert to fraction form
    123,814,758/186,034,137 = 186,034,137/x
  3. Step 3: Cross multiply
    123,814,758x = 186,034,137 × 186,034,137
  4. Step 4: Simplify right side
    123,814,758x = 34,608,700,129,334,768
  5. Step 5: Solve for x
    x = 34,608,700,129,334,768/123,814,758
  6. Step 6: Final answer
    x = 279,519,991.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.