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Finding the Third Proportional to 86,938 and 209,871

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Solution

The third proportional to 86,938 and 209,871 is: 506,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,938 : 209,871 = 209,871 : x
  2. Step 2: Convert to fraction form
    86,938/209,871 = 209,871/x
  3. Step 3: Cross multiply
    86,938x = 209,871 × 209,871
  4. Step 4: Simplify right side
    86,938x = 44,045,836,641
  5. Step 5: Solve for x
    x = 44,045,836,641/86,938
  6. Step 6: Final answer
    x = 506,635.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.