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Finding the Third Proportional to 93,938 and 221,623

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Solution

The third proportional to 93,938 and 221,623 is: 522,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,938 : 221,623 = 221,623 : x
  2. Step 2: Convert to fraction form
    93,938/221,623 = 221,623/x
  3. Step 3: Cross multiply
    93,938x = 221,623 × 221,623
  4. Step 4: Simplify right side
    93,938x = 49,116,754,129
  5. Step 5: Solve for x
    x = 49,116,754,129/93,938
  6. Step 6: Final answer
    x = 522,863.53

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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.