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Finding the Third Proportional to 49,735,314 and 107,028,906

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Solution

The third proportional to 49,735,314 and 107,028,906 is: 230,322,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,314 : 107,028,906 = 107,028,906 : x
  2. Step 2: Convert to fraction form
    49,735,314/107,028,906 = 107,028,906/x
  3. Step 3: Cross multiply
    49,735,314x = 107,028,906 × 107,028,906
  4. Step 4: Simplify right side
    49,735,314x = 11,455,186,719,556,836
  5. Step 5: Solve for x
    x = 11,455,186,719,556,836/49,735,314
  6. Step 6: Final answer
    x = 230,322,999.86

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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.