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Finding the Third Proportional to 123,097,296 and 266,621,856

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Solution

The third proportional to 123,097,296 and 266,621,856 is: 577,488,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,097,296 : 266,621,856 = 266,621,856 : x
  2. Step 2: Convert to fraction form
    123,097,296/266,621,856 = 266,621,856/x
  3. Step 3: Cross multiply
    123,097,296x = 266,621,856 × 266,621,856
  4. Step 4: Simplify right side
    123,097,296x = 71,087,214,096,884,736
  5. Step 5: Solve for x
    x = 71,087,214,096,884,736/123,097,296
  6. Step 6: Final answer
    x = 577,488,022.94

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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.