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Finding the Third Proportional to 107,233,530.75 and 160,706,227.50

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Solution

The third proportional to 107,233,530.75 and 160,706,227.50 is: 240,843,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,233,530.75 : 160,706,227.50 = 160,706,227.50 : x
  2. Step 2: Convert to fraction form
    107,233,530.75/160,706,227.50 = 160,706,227.50/x
  3. Step 3: Cross multiply
    107,233,530.75x = 160,706,227.50 × 160,706,227.50
  4. Step 4: Simplify right side
    107,233,530.75x = 25,826,491,557,281,756
  5. Step 5: Solve for x
    x = 25,826,491,557,281,756/107,233,530.75
  6. Step 6: Final answer
    x = 240,843,431.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.