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Finding the Third Proportional to 54,545,274 and 121,198,103

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Solution

The third proportional to 54,545,274 and 121,198,103 is: 269,298,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,545,274 : 121,198,103 = 121,198,103 : x
  2. Step 2: Convert to fraction form
    54,545,274/121,198,103 = 121,198,103/x
  3. Step 3: Cross multiply
    54,545,274x = 121,198,103 × 121,198,103
  4. Step 4: Simplify right side
    54,545,274x = 14,688,980,170,798,608
  5. Step 5: Solve for x
    x = 14,688,980,170,798,608/54,545,274
  6. Step 6: Final answer
    x = 269,298,861.18

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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.