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Finding the Third Proportional to 93,218 and 195,544

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Solution

The third proportional to 93,218 and 195,544 is: 410,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,218 : 195,544 = 195,544 : x
  2. Step 2: Convert to fraction form
    93,218/195,544 = 195,544/x
  3. Step 3: Cross multiply
    93,218x = 195,544 × 195,544
  4. Step 4: Simplify right side
    93,218x = 38,237,455,936
  5. Step 5: Solve for x
    x = 38,237,455,936/93,218
  6. Step 6: Final answer
    x = 410,193.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.