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Finding the Third Proportional to 93,708 and 200,808

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Solution

The third proportional to 93,708 and 200,808 is: 430,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,708 : 200,808 = 200,808 : x
  2. Step 2: Convert to fraction form
    93,708/200,808 = 200,808/x
  3. Step 3: Cross multiply
    93,708x = 200,808 × 200,808
  4. Step 4: Simplify right side
    93,708x = 40,323,852,864
  5. Step 5: Solve for x
    x = 40,323,852,864/93,708
  6. Step 6: Final answer
    x = 430,313.88

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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.