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Finding the Third Proportional to 54,545,292 and 121,198,128

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Solution

The third proportional to 54,545,292 and 121,198,128 is: 269,298,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,545,292 : 121,198,128 = 121,198,128 : x
  2. Step 2: Convert to fraction form
    54,545,292/121,198,128 = 121,198,128/x
  3. Step 3: Cross multiply
    54,545,292x = 121,198,128 × 121,198,128
  4. Step 4: Simplify right side
    54,545,292x = 14,688,986,230,704,384
  5. Step 5: Solve for x
    x = 14,688,986,230,704,384/54,545,292
  6. Step 6: Final answer
    x = 269,298,883.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.