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Finding the Third Proportional to 48,473,118 and 106,067,484

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Solution

The third proportional to 48,473,118 and 106,067,484 is: 232,093,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473,118 : 106,067,484 = 106,067,484 : x
  2. Step 2: Convert to fraction form
    48,473,118/106,067,484 = 106,067,484/x
  3. Step 3: Cross multiply
    48,473,118x = 106,067,484 × 106,067,484
  4. Step 4: Simplify right side
    48,473,118x = 11,250,311,162,090,256
  5. Step 5: Solve for x
    x = 11,250,311,162,090,256/48,473,118
  6. Step 6: Final answer
    x = 232,093,820.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.