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Finding the Third Proportional to 93,210 and 199,542

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Solution

The third proportional to 93,210 and 199,542 is: 427,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,210 : 199,542 = 199,542 : x
  2. Step 2: Convert to fraction form
    93,210/199,542 = 199,542/x
  3. Step 3: Cross multiply
    93,210x = 199,542 × 199,542
  4. Step 4: Simplify right side
    93,210x = 39,817,009,764
  5. Step 5: Solve for x
    x = 39,817,009,764/93,210
  6. Step 6: Final answer
    x = 427,175.30

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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.