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Finding the Third Proportional to 91,865 and 196,852

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Solution

The third proportional to 91,865 and 196,852 is: 421,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,865 : 196,852 = 196,852 : x
  2. Step 2: Convert to fraction form
    91,865/196,852 = 196,852/x
  3. Step 3: Cross multiply
    91,865x = 196,852 × 196,852
  4. Step 4: Simplify right side
    91,865x = 38,750,709,904
  5. Step 5: Solve for x
    x = 38,750,709,904/91,865
  6. Step 6: Final answer
    x = 421,822.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.