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Finding the Third Proportional to 98,809.88 and 219,725.16

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Solution

The third proportional to 98,809.88 and 219,725.16 is: 488,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,809.88 : 219,725.16 = 219,725.16 : x
  2. Step 2: Convert to fraction form
    98,809.88/219,725.16 = 219,725.16/x
  3. Step 3: Cross multiply
    98,809.88x = 219,725.16 × 219,725.16
  4. Step 4: Simplify right side
    98,809.88x = 48,279,144,289.09
  5. Step 5: Solve for x
    x = 48,279,144,289.09/98,809.88
  6. Step 6: Final answer
    x = 488,606.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.