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Finding the Third Proportional to 83,022.47 and 178,138.41

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Solution

The third proportional to 83,022.47 and 178,138.41 is: 382,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,022.47 : 178,138.41 = 178,138.41 : x
  2. Step 2: Convert to fraction form
    83,022.47/178,138.41 = 178,138.41/x
  3. Step 3: Cross multiply
    83,022.47x = 178,138.41 × 178,138.41
  4. Step 4: Simplify right side
    83,022.47x = 31,733,291,781.29
  5. Step 5: Solve for x
    x = 31,733,291,781.29/83,022.47
  6. Step 6: Final answer
    x = 382,225.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.