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Finding the Third Proportional to 44,304 and 96,384

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Solution

The third proportional to 44,304 and 96,384 is: 209,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,304 : 96,384 = 96,384 : x
  2. Step 2: Convert to fraction form
    44,304/96,384 = 96,384/x
  3. Step 3: Cross multiply
    44,304x = 96,384 × 96,384
  4. Step 4: Simplify right side
    44,304x = 9,289,875,456
  5. Step 5: Solve for x
    x = 9,289,875,456/44,304
  6. Step 6: Final answer
    x = 209,684.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.