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Finding the Third Proportional to 96,378.19 and 208,845.28

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Solution

The third proportional to 96,378.19 and 208,845.28 is: 452,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,378.19 : 208,845.28 = 208,845.28 : x
  2. Step 2: Convert to fraction form
    96,378.19/208,845.28 = 208,845.28/x
  3. Step 3: Cross multiply
    96,378.19x = 208,845.28 × 208,845.28
  4. Step 4: Simplify right side
    96,378.19x = 43,616,351,500.39
  5. Step 5: Solve for x
    x = 43,616,351,500.39/96,378.19
  6. Step 6: Final answer
    x = 452,554.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.