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Finding the Third Proportional to 44,358 and 96,938

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Solution

The third proportional to 44,358 and 96,938 is: 211,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,358 : 96,938 = 96,938 : x
  2. Step 2: Convert to fraction form
    44,358/96,938 = 96,938/x
  3. Step 3: Cross multiply
    44,358x = 96,938 × 96,938
  4. Step 4: Simplify right side
    44,358x = 9,396,975,844
  5. Step 5: Solve for x
    x = 9,396,975,844/44,358
  6. Step 6: Final answer
    x = 211,843.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.