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Finding the Third Proportional to 96,412 and 208,421

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Solution

The third proportional to 96,412 and 208,421 is: 450,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412 : 208,421 = 208,421 : x
  2. Step 2: Convert to fraction form
    96,412/208,421 = 208,421/x
  3. Step 3: Cross multiply
    96,412x = 208,421 × 208,421
  4. Step 4: Simplify right side
    96,412x = 43,439,313,241
  5. Step 5: Solve for x
    x = 43,439,313,241/96,412
  6. Step 6: Final answer
    x = 450,559.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.