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Finding the Third Proportional to 97,108.88 and 200,961

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Solution

The third proportional to 97,108.88 and 200,961 is: 415,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,108.88 : 200,961 = 200,961 : x
  2. Step 2: Convert to fraction form
    97,108.88/200,961 = 200,961/x
  3. Step 3: Cross multiply
    97,108.88x = 200,961 × 200,961
  4. Step 4: Simplify right side
    97,108.88x = 40,385,323,521
  5. Step 5: Solve for x
    x = 40,385,323,521/97,108.88
  6. Step 6: Final answer
    x = 415,876.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.