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Finding the Third Proportional to 93,912 and 221,468

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Solution

The third proportional to 93,912 and 221,468 is: 522,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,912 : 221,468 = 221,468 : x
  2. Step 2: Convert to fraction form
    93,912/221,468 = 221,468/x
  3. Step 3: Cross multiply
    93,912x = 221,468 × 221,468
  4. Step 4: Simplify right side
    93,912x = 49,048,075,024
  5. Step 5: Solve for x
    x = 49,048,075,024/93,912
  6. Step 6: Final answer
    x = 522,276.97

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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.