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Finding the Third Proportional to 86,009 and 202,371

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Solution

The third proportional to 86,009 and 202,371 is: 476,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,009 : 202,371 = 202,371 : x
  2. Step 2: Convert to fraction form
    86,009/202,371 = 202,371/x
  3. Step 3: Cross multiply
    86,009x = 202,371 × 202,371
  4. Step 4: Simplify right side
    86,009x = 40,954,021,641
  5. Step 5: Solve for x
    x = 40,954,021,641/86,009
  6. Step 6: Final answer
    x = 476,159.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.