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Finding the Third Proportional to 93,513 and 198,708

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Solution

The third proportional to 93,513 and 198,708 is: 422,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,513 : 198,708 = 198,708 : x
  2. Step 2: Convert to fraction form
    93,513/198,708 = 198,708/x
  3. Step 3: Cross multiply
    93,513x = 198,708 × 198,708
  4. Step 4: Simplify right side
    93,513x = 39,484,869,264
  5. Step 5: Solve for x
    x = 39,484,869,264/93,513
  6. Step 6: Final answer
    x = 422,239.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.