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Finding the Third Proportional to 49,068 and 105,907.50

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Solution

The third proportional to 49,068 and 105,907.50 is: 228,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,068 : 105,907.50 = 105,907.50 : x
  2. Step 2: Convert to fraction form
    49,068/105,907.50 = 105,907.50/x
  3. Step 3: Cross multiply
    49,068x = 105,907.50 × 105,907.50
  4. Step 4: Simplify right side
    49,068x = 11,216,398,556.25
  5. Step 5: Solve for x
    x = 11,216,398,556.25/49,068
  6. Step 6: Final answer
    x = 228,588.87

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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.