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Finding the Third Proportional to 138,380,429.25 and 194,649,503.63

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Solution

The third proportional to 138,380,429.25 and 194,649,503.63 is: 273,799,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,380,429.25 : 194,649,503.63 = 194,649,503.63 : x
  2. Step 2: Convert to fraction form
    138,380,429.25/194,649,503.63 = 194,649,503.63/x
  3. Step 3: Cross multiply
    138,380,429.25x = 194,649,503.63 × 194,649,503.63
  4. Step 4: Simplify right side
    138,380,429.25x = 37,888,429,261,458,888
  5. Step 5: Solve for x
    x = 37,888,429,261,458,888/138,380,429.25
  6. Step 6: Final answer
    x = 273,799,044.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.