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Finding the Third Proportional to 45,947 and 98,938

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Solution

The third proportional to 45,947 and 98,938 is: 213,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,947 : 98,938 = 98,938 : x
  2. Step 2: Convert to fraction form
    45,947/98,938 = 98,938/x
  3. Step 3: Cross multiply
    45,947x = 98,938 × 98,938
  4. Step 4: Simplify right side
    45,947x = 9,788,727,844
  5. Step 5: Solve for x
    x = 9,788,727,844/45,947
  6. Step 6: Final answer
    x = 213,043.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.