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Finding the Third Proportional to 97,346 and 198,220

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Solution

The third proportional to 97,346 and 198,220 is: 403,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,346 : 198,220 = 198,220 : x
  2. Step 2: Convert to fraction form
    97,346/198,220 = 198,220/x
  3. Step 3: Cross multiply
    97,346x = 198,220 × 198,220
  4. Step 4: Simplify right side
    97,346x = 39,291,168,400
  5. Step 5: Solve for x
    x = 39,291,168,400/97,346
  6. Step 6: Final answer
    x = 403,623.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.