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Finding the Third Proportional to 94,212 and 205,363

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Solution

The third proportional to 94,212 and 205,363 is: 447,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,212 : 205,363 = 205,363 : x
  2. Step 2: Convert to fraction form
    94,212/205,363 = 205,363/x
  3. Step 3: Cross multiply
    94,212x = 205,363 × 205,363
  4. Step 4: Simplify right side
    94,212x = 42,173,961,769
  5. Step 5: Solve for x
    x = 42,173,961,769/94,212
  6. Step 6: Final answer
    x = 447,649.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.