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Finding the Third Proportional to 96,467.63 and 209,034

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Solution

The third proportional to 96,467.63 and 209,034 is: 452,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,467.63 : 209,034 = 209,034 : x
  2. Step 2: Convert to fraction form
    96,467.63/209,034 = 209,034/x
  3. Step 3: Cross multiply
    96,467.63x = 209,034 × 209,034
  4. Step 4: Simplify right side
    96,467.63x = 43,695,213,156
  5. Step 5: Solve for x
    x = 43,695,213,156/96,467.63
  6. Step 6: Final answer
    x = 452,952.10

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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.