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Finding the Third Proportional to 86,031 and 202,411

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Solution

The third proportional to 86,031 and 202,411 is: 476,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,031 : 202,411 = 202,411 : x
  2. Step 2: Convert to fraction form
    86,031/202,411 = 202,411/x
  3. Step 3: Cross multiply
    86,031x = 202,411 × 202,411
  4. Step 4: Simplify right side
    86,031x = 40,970,212,921
  5. Step 5: Solve for x
    x = 40,970,212,921/86,031
  6. Step 6: Final answer
    x = 476,226.16

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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.