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Finding the Third Proportional to 96,426 and 209,438

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Solution

The third proportional to 96,426 and 209,438 is: 454,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,426 : 209,438 = 209,438 : x
  2. Step 2: Convert to fraction form
    96,426/209,438 = 209,438/x
  3. Step 3: Cross multiply
    96,426x = 209,438 × 209,438
  4. Step 4: Simplify right side
    96,426x = 43,864,275,844
  5. Step 5: Solve for x
    x = 43,864,275,844/96,426
  6. Step 6: Final answer
    x = 454,900.92

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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.