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Finding the Third Proportional to 41,331 and 90,303

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Solution

The third proportional to 41,331 and 90,303 is: 197,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,331 : 90,303 = 90,303 : x
  2. Step 2: Convert to fraction form
    41,331/90,303 = 90,303/x
  3. Step 3: Cross multiply
    41,331x = 90,303 × 90,303
  4. Step 4: Simplify right side
    41,331x = 8,154,631,809
  5. Step 5: Solve for x
    x = 8,154,631,809/41,331
  6. Step 6: Final answer
    x = 197,300.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.