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Finding the Third Proportional to 93,871 and 195,509

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Solution

The third proportional to 93,871 and 195,509 is: 407,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,871 : 195,509 = 195,509 : x
  2. Step 2: Convert to fraction form
    93,871/195,509 = 195,509/x
  3. Step 3: Cross multiply
    93,871x = 195,509 × 195,509
  4. Step 4: Simplify right side
    93,871x = 38,223,769,081
  5. Step 5: Solve for x
    x = 38,223,769,081/93,871
  6. Step 6: Final answer
    x = 407,194.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.