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Finding the Third Proportional to 48,711.38 and 106,980.75

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Solution

The third proportional to 48,711.38 and 106,980.75 is: 234,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,711.38 : 106,980.75 = 106,980.75 : x
  2. Step 2: Convert to fraction form
    48,711.38/106,980.75 = 106,980.75/x
  3. Step 3: Cross multiply
    48,711.38x = 106,980.75 × 106,980.75
  4. Step 4: Simplify right side
    48,711.38x = 11,444,880,870.56
  5. Step 5: Solve for x
    x = 11,444,880,870.56/48,711.38
  6. Step 6: Final answer
    x = 234,952.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.