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Finding the Third Proportional to 93,970.13 and 195,716.25

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Solution

The third proportional to 93,970.13 and 195,716.25 is: 407,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,970.13 : 195,716.25 = 195,716.25 : x
  2. Step 2: Convert to fraction form
    93,970.13/195,716.25 = 195,716.25/x
  3. Step 3: Cross multiply
    93,970.13x = 195,716.25 × 195,716.25
  4. Step 4: Simplify right side
    93,970.13x = 38,304,850,514.06
  5. Step 5: Solve for x
    x = 38,304,850,514.06/93,970.13
  6. Step 6: Final answer
    x = 407,627.96

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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.