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Finding the Third Proportional to 97,230 and 207,946

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Solution

The third proportional to 97,230 and 207,946 is: 444,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,230 : 207,946 = 207,946 : x
  2. Step 2: Convert to fraction form
    97,230/207,946 = 207,946/x
  3. Step 3: Cross multiply
    97,230x = 207,946 × 207,946
  4. Step 4: Simplify right side
    97,230x = 43,241,538,916
  5. Step 5: Solve for x
    x = 43,241,538,916/97,230
  6. Step 6: Final answer
    x = 444,734.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.