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Finding the Third Proportional to 91,852 and 201,747

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Solution

The third proportional to 91,852 and 201,747 is: 443,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,852 : 201,747 = 201,747 : x
  2. Step 2: Convert to fraction form
    91,852/201,747 = 201,747/x
  3. Step 3: Cross multiply
    91,852x = 201,747 × 201,747
  4. Step 4: Simplify right side
    91,852x = 40,701,852,009
  5. Step 5: Solve for x
    x = 40,701,852,009/91,852
  6. Step 6: Final answer
    x = 443,124.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.