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Finding the Third Proportional to 48,385.38 and 98,714.75

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Solution

The third proportional to 48,385.38 and 98,714.75 is: 201,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,385.38 : 98,714.75 = 98,714.75 : x
  2. Step 2: Convert to fraction form
    48,385.38/98,714.75 = 98,714.75/x
  3. Step 3: Cross multiply
    48,385.38x = 98,714.75 × 98,714.75
  4. Step 4: Simplify right side
    48,385.38x = 9,744,601,867.56
  5. Step 5: Solve for x
    x = 9,744,601,867.56/48,385.38
  6. Step 6: Final answer
    x = 201,395.60

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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.