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Finding the Third Proportional to 97,659 and 200,502

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Solution

The third proportional to 97,659 and 200,502 is: 411,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,659 : 200,502 = 200,502 : x
  2. Step 2: Convert to fraction form
    97,659/200,502 = 200,502/x
  3. Step 3: Cross multiply
    97,659x = 200,502 × 200,502
  4. Step 4: Simplify right side
    97,659x = 40,201,052,004
  5. Step 5: Solve for x
    x = 40,201,052,004/97,659
  6. Step 6: Final answer
    x = 411,647.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.