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Finding the Third Proportional to 92,244 and 199,023

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Solution

The third proportional to 92,244 and 199,023 is: 429,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,244 : 199,023 = 199,023 : x
  2. Step 2: Convert to fraction form
    92,244/199,023 = 199,023/x
  3. Step 3: Cross multiply
    92,244x = 199,023 × 199,023
  4. Step 4: Simplify right side
    92,244x = 39,610,154,529
  5. Step 5: Solve for x
    x = 39,610,154,529/92,244
  6. Step 6: Final answer
    x = 429,406.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.