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Finding the Third Proportional to 93,214 and 199,610

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Solution

The third proportional to 93,214 and 199,610 is: 427,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,214 : 199,610 = 199,610 : x
  2. Step 2: Convert to fraction form
    93,214/199,610 = 199,610/x
  3. Step 3: Cross multiply
    93,214x = 199,610 × 199,610
  4. Step 4: Simplify right side
    93,214x = 39,844,152,100
  5. Step 5: Solve for x
    x = 39,844,152,100/93,214
  6. Step 6: Final answer
    x = 427,448.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.