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Finding the Third Proportional to 123,096,966 and 266,621,250

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Solution

The third proportional to 123,096,966 and 266,621,250 is: 577,486,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,096,966 : 266,621,250 = 266,621,250 : x
  2. Step 2: Convert to fraction form
    123,096,966/266,621,250 = 266,621,250/x
  3. Step 3: Cross multiply
    123,096,966x = 266,621,250 × 266,621,250
  4. Step 4: Simplify right side
    123,096,966x = 71,086,890,951,562,496
  5. Step 5: Solve for x
    x = 71,086,890,951,562,496/123,096,966
  6. Step 6: Final answer
    x = 577,486,945.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.