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Finding the Third Proportional to 131,806.13 and 199,557.38

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Solution

The third proportional to 131,806.13 and 199,557.38 is: 302,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,806.13 : 199,557.38 = 199,557.38 : x
  2. Step 2: Convert to fraction form
    131,806.13/199,557.38 = 199,557.38/x
  3. Step 3: Cross multiply
    131,806.13x = 199,557.38 × 199,557.38
  4. Step 4: Simplify right side
    131,806.13x = 39,823,145,916.89
  5. Step 5: Solve for x
    x = 39,823,145,916.89/131,806.13
  6. Step 6: Final answer
    x = 302,134.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.