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Finding the Third Proportional to 93,230 and 207,508

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Solution

The third proportional to 93,230 and 207,508 is: 461,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,230 : 207,508 = 207,508 : x
  2. Step 2: Convert to fraction form
    93,230/207,508 = 207,508/x
  3. Step 3: Cross multiply
    93,230x = 207,508 × 207,508
  4. Step 4: Simplify right side
    93,230x = 43,059,570,064
  5. Step 5: Solve for x
    x = 43,059,570,064/93,230
  6. Step 6: Final answer
    x = 461,863.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.