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Finding the Third Proportional to 45,938 and 97,384

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Solution

The third proportional to 45,938 and 97,384 is: 206,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,938 : 97,384 = 97,384 : x
  2. Step 2: Convert to fraction form
    45,938/97,384 = 97,384/x
  3. Step 3: Cross multiply
    45,938x = 97,384 × 97,384
  4. Step 4: Simplify right side
    45,938x = 9,483,643,456
  5. Step 5: Solve for x
    x = 9,483,643,456/45,938
  6. Step 6: Final answer
    x = 206,444.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.