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Finding the Third Proportional to 91,402 and 194,444

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Solution

The third proportional to 91,402 and 194,444 is: 413,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,402 : 194,444 = 194,444 : x
  2. Step 2: Convert to fraction form
    91,402/194,444 = 194,444/x
  3. Step 3: Cross multiply
    91,402x = 194,444 × 194,444
  4. Step 4: Simplify right side
    91,402x = 37,808,469,136
  5. Step 5: Solve for x
    x = 37,808,469,136/91,402
  6. Step 6: Final answer
    x = 413,650.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.