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Finding the Third Proportional to 47,682,529.88 and 102,987,848.25

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Solution

The third proportional to 47,682,529.88 and 102,987,848.25 is: 222,439,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682,529.88 : 102,987,848.25 = 102,987,848.25 : x
  2. Step 2: Convert to fraction form
    47,682,529.88/102,987,848.25 = 102,987,848.25/x
  3. Step 3: Cross multiply
    47,682,529.88x = 102,987,848.25 × 102,987,848.25
  4. Step 4: Simplify right side
    47,682,529.88x = 10,606,496,887,165,028
  5. Step 5: Solve for x
    x = 10,606,496,887,165,028/47,682,529.88
  6. Step 6: Final answer
    x = 222,439,893.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.