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Finding the Third Proportional to 46,651.50 and 95,305.50

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Solution

The third proportional to 46,651.50 and 95,305.50 is: 194,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,651.50 : 95,305.50 = 95,305.50 : x
  2. Step 2: Convert to fraction form
    46,651.50/95,305.50 = 95,305.50/x
  3. Step 3: Cross multiply
    46,651.50x = 95,305.50 × 95,305.50
  4. Step 4: Simplify right side
    46,651.50x = 9,083,138,330.25
  5. Step 5: Solve for x
    x = 9,083,138,330.25/46,651.50
  6. Step 6: Final answer
    x = 194,701.96

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Why These Related Problems?

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