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Finding the Third Proportional to 93,914 and 221,473

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Solution

The third proportional to 93,914 and 221,473 is: 522,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,914 : 221,473 = 221,473 : x
  2. Step 2: Convert to fraction form
    93,914/221,473 = 221,473/x
  3. Step 3: Cross multiply
    93,914x = 221,473 × 221,473
  4. Step 4: Simplify right side
    93,914x = 49,050,289,729
  5. Step 5: Solve for x
    x = 49,050,289,729/93,914
  6. Step 6: Final answer
    x = 522,289.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.