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Finding the Third Proportional to 91,896 and 200,202

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Solution

The third proportional to 91,896 and 200,202 is: 436,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,896 : 200,202 = 200,202 : x
  2. Step 2: Convert to fraction form
    91,896/200,202 = 200,202/x
  3. Step 3: Cross multiply
    91,896x = 200,202 × 200,202
  4. Step 4: Simplify right side
    91,896x = 40,080,840,804
  5. Step 5: Solve for x
    x = 40,080,840,804/91,896
  6. Step 6: Final answer
    x = 436,154.36

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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.