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Finding the Third Proportional to 93,840.75 and 195,447.38

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Solution

The third proportional to 93,840.75 and 195,447.38 is: 407,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,840.75 : 195,447.38 = 195,447.38 : x
  2. Step 2: Convert to fraction form
    93,840.75/195,447.38 = 195,447.38/x
  3. Step 3: Cross multiply
    93,840.75x = 195,447.38 × 195,447.38
  4. Step 4: Simplify right side
    93,840.75x = 38,199,676,394.39
  5. Step 5: Solve for x
    x = 38,199,676,394.39/93,840.75
  6. Step 6: Final answer
    x = 407,069.17

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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.