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Finding the Third Proportional to 98,533.25 and 215,470.75

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Solution

The third proportional to 98,533.25 and 215,470.75 is: 471,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,533.25 : 215,470.75 = 215,470.75 : x
  2. Step 2: Convert to fraction form
    98,533.25/215,470.75 = 215,470.75/x
  3. Step 3: Cross multiply
    98,533.25x = 215,470.75 × 215,470.75
  4. Step 4: Simplify right side
    98,533.25x = 46,427,644,105.56
  5. Step 5: Solve for x
    x = 46,427,644,105.56/98,533.25
  6. Step 6: Final answer
    x = 471,187.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.