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Finding the Third Proportional to 47,275,092 and 103,518,249

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Solution

The third proportional to 47,275,092 and 103,518,249 is: 226,673,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275,092 : 103,518,249 = 103,518,249 : x
  2. Step 2: Convert to fraction form
    47,275,092/103,518,249 = 103,518,249/x
  3. Step 3: Cross multiply
    47,275,092x = 103,518,249 × 103,518,249
  4. Step 4: Simplify right side
    47,275,092x = 10,716,027,876,026,000
  5. Step 5: Solve for x
    x = 10,716,027,876,026,000/47,275,092
  6. Step 6: Final answer
    x = 226,673,866.15

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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.