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Finding the Third Proportional to 90,026 and 200,788

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Solution

The third proportional to 90,026 and 200,788 is: 447,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,026 : 200,788 = 200,788 : x
  2. Step 2: Convert to fraction form
    90,026/200,788 = 200,788/x
  3. Step 3: Cross multiply
    90,026x = 200,788 × 200,788
  4. Step 4: Simplify right side
    90,026x = 40,315,820,944
  5. Step 5: Solve for x
    x = 40,315,820,944/90,026
  6. Step 6: Final answer
    x = 447,824.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.