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Finding the Third Proportional to 103,413 and 213,468

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Solution

The third proportional to 103,413 and 213,468 is: 440,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413 : 213,468 = 213,468 : x
  2. Step 2: Convert to fraction form
    103,413/213,468 = 213,468/x
  3. Step 3: Cross multiply
    103,413x = 213,468 × 213,468
  4. Step 4: Simplify right side
    103,413x = 45,568,587,024
  5. Step 5: Solve for x
    x = 45,568,587,024/103,413
  6. Step 6: Final answer
    x = 440,646.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.