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Finding the Third Proportional to 138,415,090.50 and 326,741,841.75

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Solution

The third proportional to 138,415,090.50 and 326,741,841.75 is: 771,304,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415,090.50 : 326,741,841.75 = 326,741,841.75 : x
  2. Step 2: Convert to fraction form
    138,415,090.50/326,741,841.75 = 326,741,841.75/x
  3. Step 3: Cross multiply
    138,415,090.50x = 326,741,841.75 × 326,741,841.75
  4. Step 4: Simplify right side
    138,415,090.50x = 106,760,231,150,182,048
  5. Step 5: Solve for x
    x = 106,760,231,150,182,048/138,415,090.50
  6. Step 6: Final answer
    x = 771,304,853.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.