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Finding the Third Proportional to 93,728 and 221,248

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Solution

The third proportional to 93,728 and 221,248 is: 522,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,728 : 221,248 = 221,248 : x
  2. Step 2: Convert to fraction form
    93,728/221,248 = 221,248/x
  3. Step 3: Cross multiply
    93,728x = 221,248 × 221,248
  4. Step 4: Simplify right side
    93,728x = 48,950,677,504
  5. Step 5: Solve for x
    x = 48,950,677,504/93,728
  6. Step 6: Final answer
    x = 522,263.12

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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.