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Finding the Third Proportional to 93,498 and 205,690

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Solution

The third proportional to 93,498 and 205,690 is: 452,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,498 : 205,690 = 205,690 : x
  2. Step 2: Convert to fraction form
    93,498/205,690 = 205,690/x
  3. Step 3: Cross multiply
    93,498x = 205,690 × 205,690
  4. Step 4: Simplify right side
    93,498x = 42,308,376,100
  5. Step 5: Solve for x
    x = 42,308,376,100/93,498
  6. Step 6: Final answer
    x = 452,505.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.