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Finding the Third Proportional to 93,130 and 195,384

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Solution

The third proportional to 93,130 and 195,384 is: 409,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,130 : 195,384 = 195,384 : x
  2. Step 2: Convert to fraction form
    93,130/195,384 = 195,384/x
  3. Step 3: Cross multiply
    93,130x = 195,384 × 195,384
  4. Step 4: Simplify right side
    93,130x = 38,174,907,456
  5. Step 5: Solve for x
    x = 38,174,907,456/93,130
  6. Step 6: Final answer
    x = 409,909.88

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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.