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Finding the Third Proportional to 93,345 and 204,835

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Solution

The third proportional to 93,345 and 204,835 is: 449,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,345 : 204,835 = 204,835 : x
  2. Step 2: Convert to fraction form
    93,345/204,835 = 204,835/x
  3. Step 3: Cross multiply
    93,345x = 204,835 × 204,835
  4. Step 4: Simplify right side
    93,345x = 41,957,377,225
  5. Step 5: Solve for x
    x = 41,957,377,225/93,345
  6. Step 6: Final answer
    x = 449,487.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.