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Finding the Third Proportional to 121,139,732.25 and 264,204,481.22

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Solution

The third proportional to 121,139,732.25 and 264,204,481.22 is: 576,227,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,139,732.25 : 264,204,481.22 = 264,204,481.22 : x
  2. Step 2: Convert to fraction form
    121,139,732.25/264,204,481.22 = 264,204,481.22/x
  3. Step 3: Cross multiply
    121,139,732.25x = 264,204,481.22 × 264,204,481.22
  4. Step 4: Simplify right side
    121,139,732.25x = 69,804,007,896,068,824
  5. Step 5: Solve for x
    x = 69,804,007,896,068,824/121,139,732.25
  6. Step 6: Final answer
    x = 576,227,193.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.