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Finding the Third Proportional to 96,546.94 and 199,802.95

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Solution

The third proportional to 96,546.94 and 199,802.95 is: 413,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546.94 : 199,802.95 = 199,802.95 : x
  2. Step 2: Convert to fraction form
    96,546.94/199,802.95 = 199,802.95/x
  3. Step 3: Cross multiply
    96,546.94x = 199,802.95 × 199,802.95
  4. Step 4: Simplify right side
    96,546.94x = 39,921,220,077.47
  5. Step 5: Solve for x
    x = 39,921,220,077.47/96,546.94
  6. Step 6: Final answer
    x = 413,490.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.