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Finding the Third Proportional to 49,234,788 and 107,138,844

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Solution

The third proportional to 49,234,788 and 107,138,844 is: 233,142,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,234,788 : 107,138,844 = 107,138,844 : x
  2. Step 2: Convert to fraction form
    49,234,788/107,138,844 = 107,138,844/x
  3. Step 3: Cross multiply
    49,234,788x = 107,138,844 × 107,138,844
  4. Step 4: Simplify right side
    49,234,788x = 11,478,731,893,656,336
  5. Step 5: Solve for x
    x = 11,478,731,893,656,336/49,234,788
  6. Step 6: Final answer
    x = 233,142,709.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.