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Finding the Third Proportional to 49,883,744 and 107,193,440

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Solution

The third proportional to 49,883,744 and 107,193,440 is: 230,344,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,883,744 : 107,193,440 = 107,193,440 : x
  2. Step 2: Convert to fraction form
    49,883,744/107,193,440 = 107,193,440/x
  3. Step 3: Cross multiply
    49,883,744x = 107,193,440 × 107,193,440
  4. Step 4: Simplify right side
    49,883,744x = 11,490,433,579,033,600
  5. Step 5: Solve for x
    x = 11,490,433,579,033,600/49,883,744
  6. Step 6: Final answer
    x = 230,344,249.60

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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.