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Finding the Third Proportional to 49,903.75 and 107,802.75

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Solution

The third proportional to 49,903.75 and 107,802.75 is: 232,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903.75 : 107,802.75 = 107,802.75 : x
  2. Step 2: Convert to fraction form
    49,903.75/107,802.75 = 107,802.75/x
  3. Step 3: Cross multiply
    49,903.75x = 107,802.75 × 107,802.75
  4. Step 4: Simplify right side
    49,903.75x = 11,621,432,907.56
  5. Step 5: Solve for x
    x = 11,621,432,907.56/49,903.75
  6. Step 6: Final answer
    x = 232,876.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.