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Finding the Third Proportional to 46,885 and 95,510.50

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Solution

The third proportional to 46,885 and 95,510.50 is: 194,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,885 : 95,510.50 = 95,510.50 : x
  2. Step 2: Convert to fraction form
    46,885/95,510.50 = 95,510.50/x
  3. Step 3: Cross multiply
    46,885x = 95,510.50 × 95,510.50
  4. Step 4: Simplify right side
    46,885x = 9,122,255,610.25
  5. Step 5: Solve for x
    x = 9,122,255,610.25/46,885
  6. Step 6: Final answer
    x = 194,566.61

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.