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Finding the Third Proportional to 96,806.71 and 209,702.20

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Solution

The third proportional to 96,806.71 and 209,702.20 is: 454,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,806.71 : 209,702.20 = 209,702.20 : x
  2. Step 2: Convert to fraction form
    96,806.71/209,702.20 = 209,702.20/x
  3. Step 3: Cross multiply
    96,806.71x = 209,702.20 × 209,702.20
  4. Step 4: Simplify right side
    96,806.71x = 43,975,011,538.03
  5. Step 5: Solve for x
    x = 43,975,011,538.03/96,806.71
  6. Step 6: Final answer
    x = 454,255.84

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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.