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Finding the Third Proportional to 96,929 and 209,426

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Solution

The third proportional to 96,929 and 209,426 is: 452,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,929 : 209,426 = 209,426 : x
  2. Step 2: Convert to fraction form
    96,929/209,426 = 209,426/x
  3. Step 3: Cross multiply
    96,929x = 209,426 × 209,426
  4. Step 4: Simplify right side
    96,929x = 43,859,249,476
  5. Step 5: Solve for x
    x = 43,859,249,476/96,929
  6. Step 6: Final answer
    x = 452,488.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.