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Finding the Third Proportional to 94,309 and 205,203

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Solution

The third proportional to 94,309 and 205,203 is: 446,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,309 : 205,203 = 205,203 : x
  2. Step 2: Convert to fraction form
    94,309/205,203 = 205,203/x
  3. Step 3: Cross multiply
    94,309x = 205,203 × 205,203
  4. Step 4: Simplify right side
    94,309x = 42,108,271,209
  5. Step 5: Solve for x
    x = 42,108,271,209/94,309
  6. Step 6: Final answer
    x = 446,492.61

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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.