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Finding the Third Proportional to 84,441,274.88 and 185,024,796.75

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Solution

The third proportional to 84,441,274.88 and 185,024,796.75 is: 405,419,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,441,274.88 : 185,024,796.75 = 185,024,796.75 : x
  2. Step 2: Convert to fraction form
    84,441,274.88/185,024,796.75 = 185,024,796.75/x
  3. Step 3: Cross multiply
    84,441,274.88x = 185,024,796.75 × 185,024,796.75
  4. Step 4: Simplify right side
    84,441,274.88x = 34,234,175,412,378,812
  5. Step 5: Solve for x
    x = 34,234,175,412,378,812/84,441,274.88
  6. Step 6: Final answer
    x = 405,419,926.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.