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Finding the Third Proportional to 199,107 and 433,206

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Solution

The third proportional to 199,107 and 433,206 is: 942,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,107 : 433,206 = 433,206 : x
  2. Step 2: Convert to fraction form
    199,107/433,206 = 433,206/x
  3. Step 3: Cross multiply
    199,107x = 433,206 × 433,206
  4. Step 4: Simplify right side
    199,107x = 187,667,438,436
  5. Step 5: Solve for x
    x = 187,667,438,436/199,107
  6. Step 6: Final answer
    x = 942,545.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.