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Finding the Third Proportional to 94,446 and 205,507

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Solution

The third proportional to 94,446 and 205,507 is: 447,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,446 : 205,507 = 205,507 : x
  2. Step 2: Convert to fraction form
    94,446/205,507 = 205,507/x
  3. Step 3: Cross multiply
    94,446x = 205,507 × 205,507
  4. Step 4: Simplify right side
    94,446x = 42,233,127,049
  5. Step 5: Solve for x
    x = 42,233,127,049/94,446
  6. Step 6: Final answer
    x = 447,166.92

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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.