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Finding the Third Proportional to 91,800.84 and 137,165.91

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Solution

The third proportional to 91,800.84 and 137,165.91 is: 204,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,800.84 : 137,165.91 = 137,165.91 : x
  2. Step 2: Convert to fraction form
    91,800.84/137,165.91 = 137,165.91/x
  3. Step 3: Cross multiply
    91,800.84x = 137,165.91 × 137,165.91
  4. Step 4: Simplify right side
    91,800.84x = 18,814,485,837.38
  5. Step 5: Solve for x
    x = 18,814,485,837.38/91,800.84
  6. Step 6: Final answer
    x = 204,948.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.