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Finding the Third Proportional to 96,612.75 and 209,300.63

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Solution

The third proportional to 96,612.75 and 209,300.63 is: 453,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,612.75 : 209,300.63 = 209,300.63 : x
  2. Step 2: Convert to fraction form
    96,612.75/209,300.63 = 209,300.63/x
  3. Step 3: Cross multiply
    96,612.75x = 209,300.63 × 209,300.63
  4. Step 4: Simplify right side
    96,612.75x = 43,806,751,625.39
  5. Step 5: Solve for x
    x = 43,806,751,625.39/96,612.75
  6. Step 6: Final answer
    x = 453,426.20

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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.