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Finding the Third Proportional to 54,545,270 and 121,198,094

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Solution

The third proportional to 54,545,270 and 121,198,094 is: 269,298,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,545,270 : 121,198,094 = 121,198,094 : x
  2. Step 2: Convert to fraction form
    54,545,270/121,198,094 = 121,198,094/x
  3. Step 3: Cross multiply
    54,545,270x = 121,198,094 × 121,198,094
  4. Step 4: Simplify right side
    54,545,270x = 14,688,977,989,232,836
  5. Step 5: Solve for x
    x = 14,688,977,989,232,836/54,545,270
  6. Step 6: Final answer
    x = 269,298,840.93

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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.