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Finding the Third Proportional to 98,268.75 and 214,395.75

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Solution

The third proportional to 98,268.75 and 214,395.75 is: 467,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,268.75 : 214,395.75 = 214,395.75 : x
  2. Step 2: Convert to fraction form
    98,268.75/214,395.75 = 214,395.75/x
  3. Step 3: Cross multiply
    98,268.75x = 214,395.75 × 214,395.75
  4. Step 4: Simplify right side
    98,268.75x = 45,965,537,618.06
  5. Step 5: Solve for x
    x = 45,965,537,618.06/98,268.75
  6. Step 6: Final answer
    x = 467,753.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.