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Finding the Third Proportional to 90,445 and 192,898

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Solution

The third proportional to 90,445 and 192,898 is: 411,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,445 : 192,898 = 192,898 : x
  2. Step 2: Convert to fraction form
    90,445/192,898 = 192,898/x
  3. Step 3: Cross multiply
    90,445x = 192,898 × 192,898
  4. Step 4: Simplify right side
    90,445x = 37,209,638,404
  5. Step 5: Solve for x
    x = 37,209,638,404/90,445
  6. Step 6: Final answer
    x = 411,406.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.