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Finding the Third Proportional to 67,749,328 and 144,238,016

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Solution

The third proportional to 67,749,328 and 144,238,016 is: 307,082,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,749,328 : 144,238,016 = 144,238,016 : x
  2. Step 2: Convert to fraction form
    67,749,328/144,238,016 = 144,238,016/x
  3. Step 3: Cross multiply
    67,749,328x = 144,238,016 × 144,238,016
  4. Step 4: Simplify right side
    67,749,328x = 20,804,605,259,616,256
  5. Step 5: Solve for x
    x = 20,804,605,259,616,256/67,749,328
  6. Step 6: Final answer
    x = 307,082,090.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.