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Finding the Third Proportional to 49,952.25 and 107,011.69

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Solution

The third proportional to 49,952.25 and 107,011.69 is: 229,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952.25 : 107,011.69 = 107,011.69 : x
  2. Step 2: Convert to fraction form
    49,952.25/107,011.69 = 107,011.69/x
  3. Step 3: Cross multiply
    49,952.25x = 107,011.69 × 107,011.69
  4. Step 4: Simplify right side
    49,952.25x = 11,451,501,261.60
  5. Step 5: Solve for x
    x = 11,451,501,261.60/49,952.25
  6. Step 6: Final answer
    x = 229,248.96

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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.