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Finding the Third Proportional to 54,831,899 and 120,426,093

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Solution

The third proportional to 54,831,899 and 120,426,093 is: 264,489,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,831,899 : 120,426,093 = 120,426,093 : x
  2. Step 2: Convert to fraction form
    54,831,899/120,426,093 = 120,426,093/x
  3. Step 3: Cross multiply
    54,831,899x = 120,426,093 × 120,426,093
  4. Step 4: Simplify right side
    54,831,899x = 14,502,443,875,244,648
  5. Step 5: Solve for x
    x = 14,502,443,875,244,648/54,831,899
  6. Step 6: Final answer
    x = 264,489,177.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.