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Finding the Third Proportional to 107,515.13 and 227,848.50

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Solution

The third proportional to 107,515.13 and 227,848.50 is: 482,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,515.13 : 227,848.50 = 227,848.50 : x
  2. Step 2: Convert to fraction form
    107,515.13/227,848.50 = 227,848.50/x
  3. Step 3: Cross multiply
    107,515.13x = 227,848.50 × 227,848.50
  4. Step 4: Simplify right side
    107,515.13x = 51,914,938,952.25
  5. Step 5: Solve for x
    x = 51,914,938,952.25/107,515.13
  6. Step 6: Final answer
    x = 482,861.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.