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Finding the Third Proportional to 98,539.25 and 215,479.25

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Solution

The third proportional to 98,539.25 and 215,479.25 is: 471,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539.25 : 215,479.25 = 215,479.25 : x
  2. Step 2: Convert to fraction form
    98,539.25/215,479.25 = 215,479.25/x
  3. Step 3: Cross multiply
    98,539.25x = 215,479.25 × 215,479.25
  4. Step 4: Simplify right side
    98,539.25x = 46,431,307,180.56
  5. Step 5: Solve for x
    x = 46,431,307,180.56/98,539.25
  6. Step 6: Final answer
    x = 471,196.07

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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.