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Finding the Third Proportional to 97,380 and 204,599

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Solution

The third proportional to 97,380 and 204,599 is: 429,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,380 : 204,599 = 204,599 : x
  2. Step 2: Convert to fraction form
    97,380/204,599 = 204,599/x
  3. Step 3: Cross multiply
    97,380x = 204,599 × 204,599
  4. Step 4: Simplify right side
    97,380x = 41,860,750,801
  5. Step 5: Solve for x
    x = 41,860,750,801/97,380
  6. Step 6: Final answer
    x = 429,870.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.