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Finding the Third Proportional to 54,077,249 and 120,245,206

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Solution

The third proportional to 54,077,249 and 120,245,206 is: 267,375,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,077,249 : 120,245,206 = 120,245,206 : x
  2. Step 2: Convert to fraction form
    54,077,249/120,245,206 = 120,245,206/x
  3. Step 3: Cross multiply
    54,077,249x = 120,245,206 × 120,245,206
  4. Step 4: Simplify right side
    54,077,249x = 14,458,909,565,982,436
  5. Step 5: Solve for x
    x = 14,458,909,565,982,436/54,077,249
  6. Step 6: Final answer
    x = 267,375,094.58

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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.