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Finding the Third Proportional to 93,771 and 221,219

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Solution

The third proportional to 93,771 and 221,219 is: 521,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,771 : 221,219 = 221,219 : x
  2. Step 2: Convert to fraction form
    93,771/221,219 = 221,219/x
  3. Step 3: Cross multiply
    93,771x = 221,219 × 221,219
  4. Step 4: Simplify right side
    93,771x = 48,937,845,961
  5. Step 5: Solve for x
    x = 48,937,845,961/93,771
  6. Step 6: Final answer
    x = 521,886.79

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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.