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Finding the Third Proportional to 93,404 and 201,571

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Solution

The third proportional to 93,404 and 201,571 is: 435,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,404 : 201,571 = 201,571 : x
  2. Step 2: Convert to fraction form
    93,404/201,571 = 201,571/x
  3. Step 3: Cross multiply
    93,404x = 201,571 × 201,571
  4. Step 4: Simplify right side
    93,404x = 40,630,868,041
  5. Step 5: Solve for x
    x = 40,630,868,041/93,404
  6. Step 6: Final answer
    x = 435,001.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.