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Finding the Third Proportional to 87,970.50 and 193,066.50

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Solution

The third proportional to 87,970.50 and 193,066.50 is: 423,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,970.50 : 193,066.50 = 193,066.50 : x
  2. Step 2: Convert to fraction form
    87,970.50/193,066.50 = 193,066.50/x
  3. Step 3: Cross multiply
    87,970.50x = 193,066.50 × 193,066.50
  4. Step 4: Simplify right side
    87,970.50x = 37,274,673,422.25
  5. Step 5: Solve for x
    x = 37,274,673,422.25/87,970.50
  6. Step 6: Final answer
    x = 423,717.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.