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Finding the Third Proportional to 96,811.66 and 209,706.89

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Solution

The third proportional to 96,811.66 and 209,706.89 is: 454,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,811.66 : 209,706.89 = 209,706.89 : x
  2. Step 2: Convert to fraction form
    96,811.66/209,706.89 = 209,706.89/x
  3. Step 3: Cross multiply
    96,811.66x = 209,706.89 × 209,706.89
  4. Step 4: Simplify right side
    96,811.66x = 43,976,979,975.61
  5. Step 5: Solve for x
    x = 43,976,979,975.61/96,811.66
  6. Step 6: Final answer
    x = 454,252.91

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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.