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Finding the Third Proportional to 107,437.50 and 227,681.25

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Solution

The third proportional to 107,437.50 and 227,681.25 is: 482,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,437.50 : 227,681.25 = 227,681.25 : x
  2. Step 2: Convert to fraction form
    107,437.50/227,681.25 = 227,681.25/x
  3. Step 3: Cross multiply
    107,437.50x = 227,681.25 × 227,681.25
  4. Step 4: Simplify right side
    107,437.50x = 51,838,751,601.56
  5. Step 5: Solve for x
    x = 51,838,751,601.56/107,437.50
  6. Step 6: Final answer
    x = 482,501.47

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