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Finding the Third Proportional to 97,396 and 150,394

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Solution

The third proportional to 97,396 and 150,394 is: 232,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,396 : 150,394 = 150,394 : x
  2. Step 2: Convert to fraction form
    97,396/150,394 = 150,394/x
  3. Step 3: Cross multiply
    97,396x = 150,394 × 150,394
  4. Step 4: Simplify right side
    97,396x = 22,618,355,236
  5. Step 5: Solve for x
    x = 22,618,355,236/97,396
  6. Step 6: Final answer
    x = 232,230.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.