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Finding the Third Proportional to 97,358 and 199,324

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Solution

The third proportional to 97,358 and 199,324 is: 408,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,358 : 199,324 = 199,324 : x
  2. Step 2: Convert to fraction form
    97,358/199,324 = 199,324/x
  3. Step 3: Cross multiply
    97,358x = 199,324 × 199,324
  4. Step 4: Simplify right side
    97,358x = 39,730,056,976
  5. Step 5: Solve for x
    x = 39,730,056,976/97,358
  6. Step 6: Final answer
    x = 408,082.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.