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Finding the Third Proportional to 45,947 and 99,427

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Solution

The third proportional to 45,947 and 99,427 is: 215,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,947 : 99,427 = 99,427 : x
  2. Step 2: Convert to fraction form
    45,947/99,427 = 99,427/x
  3. Step 3: Cross multiply
    45,947x = 99,427 × 99,427
  4. Step 4: Simplify right side
    45,947x = 9,885,728,329
  5. Step 5: Solve for x
    x = 9,885,728,329/45,947
  6. Step 6: Final answer
    x = 215,155.03

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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.