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Finding the Third Proportional to 98,634.38 and 215,725.88

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Solution

The third proportional to 98,634.38 and 215,725.88 is: 471,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,634.38 : 215,725.88 = 215,725.88 : x
  2. Step 2: Convert to fraction form
    98,634.38/215,725.88 = 215,725.88/x
  3. Step 3: Cross multiply
    98,634.38x = 215,725.88 × 215,725.88
  4. Step 4: Simplify right side
    98,634.38x = 46,537,653,144.52
  5. Step 5: Solve for x
    x = 46,537,653,144.52/98,634.38
  6. Step 6: Final answer
    x = 471,819.82

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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.