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Finding the Third Proportional to 192,101.47 and 421,569.88

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Solution

The third proportional to 192,101.47 and 421,569.88 is: 925,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,101.47 : 421,569.88 = 421,569.88 : x
  2. Step 2: Convert to fraction form
    192,101.47/421,569.88 = 421,569.88/x
  3. Step 3: Cross multiply
    192,101.47x = 421,569.88 × 421,569.88
  4. Step 4: Simplify right side
    192,101.47x = 177,721,162,801.02
  5. Step 5: Solve for x
    x = 177,721,162,801.02/192,101.47
  6. Step 6: Final answer
    x = 925,142.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.