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Finding the Third Proportional to 49,735,305 and 107,028,884.25

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Solution

The third proportional to 49,735,305 and 107,028,884.25 is: 230,322,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,305 : 107,028,884.25 = 107,028,884.25 : x
  2. Step 2: Convert to fraction form
    49,735,305/107,028,884.25 = 107,028,884.25/x
  3. Step 3: Cross multiply
    49,735,305x = 107,028,884.25 × 107,028,884.25
  4. Step 4: Simplify right side
    49,735,305x = 11,455,182,063,799,898
  5. Step 5: Solve for x
    x = 11,455,182,063,799,898/49,735,305
  6. Step 6: Final answer
    x = 230,322,947.93

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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.