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Finding the Third Proportional to 90,477 and 193,413

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Solution

The third proportional to 90,477 and 193,413 is: 413,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,477 : 193,413 = 193,413 : x
  2. Step 2: Convert to fraction form
    90,477/193,413 = 193,413/x
  3. Step 3: Cross multiply
    90,477x = 193,413 × 193,413
  4. Step 4: Simplify right side
    90,477x = 37,408,588,569
  5. Step 5: Solve for x
    x = 37,408,588,569/90,477
  6. Step 6: Final answer
    x = 413,459.65

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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.