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Finding the Third Proportional to 100,348 and 216,536

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Solution

The third proportional to 100,348 and 216,536 is: 467,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,348 : 216,536 = 216,536 : x
  2. Step 2: Convert to fraction form
    100,348/216,536 = 216,536/x
  3. Step 3: Cross multiply
    100,348x = 216,536 × 216,536
  4. Step 4: Simplify right side
    100,348x = 46,887,839,296
  5. Step 5: Solve for x
    x = 46,887,839,296/100,348
  6. Step 6: Final answer
    x = 467,252.35

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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.