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Finding the Third Proportional to 93,497 and 205,685

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Solution

The third proportional to 93,497 and 205,685 is: 452,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,497 : 205,685 = 205,685 : x
  2. Step 2: Convert to fraction form
    93,497/205,685 = 205,685/x
  3. Step 3: Cross multiply
    93,497x = 205,685 × 205,685
  4. Step 4: Simplify right side
    93,497x = 42,306,319,225
  5. Step 5: Solve for x
    x = 42,306,319,225/93,497
  6. Step 6: Final answer
    x = 452,488.52

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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.