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Finding the Third Proportional to 49,456,514 and 106,225,828

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Solution

The third proportional to 49,456,514 and 106,225,828 is: 228,158,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456,514 : 106,225,828 = 106,225,828 : x
  2. Step 2: Convert to fraction form
    49,456,514/106,225,828 = 106,225,828/x
  3. Step 3: Cross multiply
    49,456,514x = 106,225,828 × 106,225,828
  4. Step 4: Simplify right side
    49,456,514x = 11,283,926,534,285,584
  5. Step 5: Solve for x
    x = 11,283,926,534,285,584/49,456,514
  6. Step 6: Final answer
    x = 228,158,550.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.