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Finding the Third Proportional to 49,233,824 and 107,733,184

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Solution

The third proportional to 49,233,824 and 107,733,184 is: 235,741,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,233,824 : 107,733,184 = 107,733,184 : x
  2. Step 2: Convert to fraction form
    49,233,824/107,733,184 = 107,733,184/x
  3. Step 3: Cross multiply
    49,233,824x = 107,733,184 × 107,733,184
  4. Step 4: Simplify right side
    49,233,824x = 11,606,438,934,777,856
  5. Step 5: Solve for x
    x = 11,606,438,934,777,856/49,233,824
  6. Step 6: Final answer
    x = 235,741,163.12

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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.