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Finding the Third Proportional to 91,789 and 194,587

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Solution

The third proportional to 91,789 and 194,587 is: 412,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,789 : 194,587 = 194,587 : x
  2. Step 2: Convert to fraction form
    91,789/194,587 = 194,587/x
  3. Step 3: Cross multiply
    91,789x = 194,587 × 194,587
  4. Step 4: Simplify right side
    91,789x = 37,864,100,569
  5. Step 5: Solve for x
    x = 37,864,100,569/91,789
  6. Step 6: Final answer
    x = 412,512.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.