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Finding the Third Proportional to 129,324.38 and 199,522.13

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Solution

The third proportional to 129,324.38 and 199,522.13 is: 307,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,324.38 : 199,522.13 = 199,522.13 : x
  2. Step 2: Convert to fraction form
    129,324.38/199,522.13 = 199,522.13/x
  3. Step 3: Cross multiply
    129,324.38x = 199,522.13 × 199,522.13
  4. Step 4: Simplify right side
    129,324.38x = 39,809,078,364.52
  5. Step 5: Solve for x
    x = 39,809,078,364.52/129,324.38
  6. Step 6: Final answer
    x = 307,823.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.