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Finding the Third Proportional to 109,071,843.75 and 233,260,231.50

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Solution

The third proportional to 109,071,843.75 and 233,260,231.50 is: 498,848,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,071,843.75 : 233,260,231.50 = 233,260,231.50 : x
  2. Step 2: Convert to fraction form
    109,071,843.75/233,260,231.50 = 233,260,231.50/x
  3. Step 3: Cross multiply
    109,071,843.75x = 233,260,231.50 × 233,260,231.50
  4. Step 4: Simplify right side
    109,071,843.75x = 54,410,335,599,433,592
  5. Step 5: Solve for x
    x = 54,410,335,599,433,592/109,071,843.75
  6. Step 6: Final answer
    x = 498,848,591.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.