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Finding the Third Proportional to 91,695 and 200,886

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Solution

The third proportional to 91,695 and 200,886 is: 440,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,695 : 200,886 = 200,886 : x
  2. Step 2: Convert to fraction form
    91,695/200,886 = 200,886/x
  3. Step 3: Cross multiply
    91,695x = 200,886 × 200,886
  4. Step 4: Simplify right side
    91,695x = 40,355,184,996
  5. Step 5: Solve for x
    x = 40,355,184,996/91,695
  6. Step 6: Final answer
    x = 440,102.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.