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Finding the Third Proportional to 93,768 and 195,309

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Solution

The third proportional to 93,768 and 195,309 is: 406,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,768 : 195,309 = 195,309 : x
  2. Step 2: Convert to fraction form
    93,768/195,309 = 195,309/x
  3. Step 3: Cross multiply
    93,768x = 195,309 × 195,309
  4. Step 4: Simplify right side
    93,768x = 38,145,605,481
  5. Step 5: Solve for x
    x = 38,145,605,481/93,768
  6. Step 6: Final answer
    x = 406,808.35

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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.