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Finding the Third Proportional to 93,921 and 221,490

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Solution

The third proportional to 93,921 and 221,490 is: 522,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,921 : 221,490 = 221,490 : x
  2. Step 2: Convert to fraction form
    93,921/221,490 = 221,490/x
  3. Step 3: Cross multiply
    93,921x = 221,490 × 221,490
  4. Step 4: Simplify right side
    93,921x = 49,057,820,100
  5. Step 5: Solve for x
    x = 49,057,820,100/93,921
  6. Step 6: Final answer
    x = 522,330.68

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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.