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Finding the Third Proportional to 48,892,942 and 103,614,212

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Solution

The third proportional to 48,892,942 and 103,614,212 is: 219,579,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892,942 : 103,614,212 = 103,614,212 : x
  2. Step 2: Convert to fraction form
    48,892,942/103,614,212 = 103,614,212/x
  3. Step 3: Cross multiply
    48,892,942x = 103,614,212 × 103,614,212
  4. Step 4: Simplify right side
    48,892,942x = 10,735,904,928,380,944
  5. Step 5: Solve for x
    x = 10,735,904,928,380,944/48,892,942
  6. Step 6: Final answer
    x = 219,579,851.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.