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Finding the Third Proportional to 46,899 and 95,708.25

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Solution

The third proportional to 46,899 and 95,708.25 is: 195,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,899 : 95,708.25 = 95,708.25 : x
  2. Step 2: Convert to fraction form
    46,899/95,708.25 = 95,708.25/x
  3. Step 3: Cross multiply
    46,899x = 95,708.25 × 95,708.25
  4. Step 4: Simplify right side
    46,899x = 9,160,069,118.06
  5. Step 5: Solve for x
    x = 9,160,069,118.06/46,899
  6. Step 6: Final answer
    x = 195,314.81

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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.