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Finding the Third Proportional to 121,139,735 and 264,204,487

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Solution

The third proportional to 121,139,735 and 264,204,487 is: 576,227,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,139,735 : 264,204,487 = 264,204,487 : x
  2. Step 2: Convert to fraction form
    121,139,735/264,204,487 = 264,204,487/x
  3. Step 3: Cross multiply
    121,139,735x = 264,204,487 × 264,204,487
  4. Step 4: Simplify right side
    121,139,735x = 69,804,010,950,933,168
  5. Step 5: Solve for x
    x = 69,804,010,950,933,168/121,139,735
  6. Step 6: Final answer
    x = 576,227,205.31

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Why These Related Problems?

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