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Finding the Third Proportional to 123,307,769 and 265,215,960

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Solution

The third proportional to 123,307,769 and 265,215,960 is: 570,438,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,307,769 : 265,215,960 = 265,215,960 : x
  2. Step 2: Convert to fraction form
    123,307,769/265,215,960 = 265,215,960/x
  3. Step 3: Cross multiply
    123,307,769x = 265,215,960 × 265,215,960
  4. Step 4: Simplify right side
    123,307,769x = 70,339,505,438,721,600
  5. Step 5: Solve for x
    x = 70,339,505,438,721,600/123,307,769
  6. Step 6: Final answer
    x = 570,438,553.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.